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Aadya Singh 5 years, 2 months ago
Aadya Singh 5 years, 2 months ago
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Aadya Singh 5 years, 2 months ago
Can't be applied in expression involving Trignometeic ratios n exponential terms..
Can't be applied in expression involving two or more terms separated by (+) Or (-).
Can't be applied in expression involving proportionality constant which has dimension...
Posted by Nancy Chhikara 5 years, 2 months ago
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Ankit Singh Thakur???? 5 years, 2 months ago
Gaurav Seth 5 years, 2 months ago
A n s w e r :
F P S System In this system, the unit of length is foot, the unit of mass is pound and the unit of time is second.
Posted by Dark ..? 5 years, 2 months ago
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Posted by Nancy Chhikara 5 years, 2 months ago
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Dεερακ Ȿιηɠꜧ 5 years, 2 months ago
In English it is "International system of units" the short form is taken from the french name
Gaurav Seth 5 years, 2 months ago
S.I system (standard international system).
In this system the units of mass, length and time are same, as that of M.K.S system.
<article id="post-1294477">The full form of S.I is standard international system, it is an international system of units for the measurements. SI is a measuring system that is dependent on 7 base units:
Length in metre
Mass in kilogram
Time in second
Electric current in ampere
Temperature in kelvin
Amount of substance in mole
Luminous intensity in candela.
</article>Posted by Aadya Singh 5 years, 2 months ago
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Gaurav Seth 5 years, 2 months ago
calar Triple Product
If a, b, c are three vectors, then (a * b) * c is called scalar triple product and is denoted by [a b c].
∴ [a b c] = (a * b) * c
Geometrical Interpretation of Scalar Triple Product
The scalar triple product (a * b) * c represents the volume of a parallelepiped whose coterminous edges are represented by a, b and c which form a right handed system of vectors.
Expression of the scalar triple product (a * b) * c in terms of components
a = a1i + a1j + a1k, b = a2i + a2j + a2k, c = a3i + a3j + a3k is
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Properties of Scalar Triple Products
1. The scalar triple product is independent of the positions of dot and cross i.e., (a * b) * c = a * (b * c).
2. The scalar triple product of three vectors is unaltered so long as the cyclic order of the vectors remains unchanged.
i.e., (a * b) * c = (b * c) * a= (c * a) * b
or
[a b c] = [b c a] = [c a b].
3. The scalar triple product changes in sign but not in magnitude, when the cyclic order is changed.
i.e., [a b c] = – [a c b] etc.
4. The scalar triple product vanishes, if any two of its vectors are equal.
i.e., [a a b] = 0, [a b a] = 0 and [b a a] = 0.
5. The scalar triple product vanishes, if any two of its vectors are parallel or collinear.
6. For any scalar x, [x a b c] = x [a b c]. Also, [x a yb zc] = xyz [a b c].
7. For any vectors a, b, c, d, [a + b c d] = [a c d] + [b c d]
8. [i j k] = 1
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</figure>
11. Three non-zero vectors a, b and c are coplanar, if and only if [a b c] = 0.
12. Four points A, B, C, D with position vectors a, b, c, d respectively are coplanar, if and only if [AB AC AD] = 0.
i.e., if and only if [b — a c— a d— a] = 0.
13. Volume of parallelepiped with three coterminous edges a, b,c is | [a b c] |.
14. Volume of prism on a triangular base with three coterminous edges a, b,c is 1 / 2 | [a b c] |.
15. Volume of a tetrahedron with three coterminous edges a, b,c is 1 / 6 | [a b c] |.
16. If a, b, c and d are position vectors of vertices of a tetrahedron, then
Volume = 1 / 6 [b — a c — a d — a].
Posted by Aadya Singh 5 years, 2 months ago
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Gaurav Seth 5 years, 2 months ago
Let S is the area of the bottom and h is the height of a parallelepiped, then the volume formula is,
V=S×h
Where,
S = Area of the bottom
h = Height
Example Find the volume of the parallelepiped, when 20cm2 is the area of the bottom and 10 cm is the height of the parallelepiped.
Solution:
Given,
Aare of the botton = S = 20cm2
Height = h = 10 cm
Volume formula is: V=S×h
V=20×10
V=200cm3
</article>Posted by Radhika Singh 5 years, 2 months ago
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Posted by Radhika Singh 5 years, 2 months ago
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Aseem Mahajan 5 years, 2 months ago
</a> <a href="https://ibb.co/5Kf8kh6">
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Posted by Radhika Singh 5 years, 2 months ago
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Aseem Mahajan 5 years, 2 months ago
</a> <a href="https://ibb.co/5Kf8kh6"></a> <a href="https://ibb.co/LvvPP4h"></a>
Aseem Mahajan 5 years, 2 months ago
</a> <a href="https://ibb.co/5Kf8kh6"></a> <a href="https://ibb.co/LvvPP4h"></a>
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Aadya Singh 5 years, 2 months ago
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Sia ? 4 years, 7 months ago
Physics is the natural science that studies matter, its motion and behavior through space and time, and the related entities of energy and force. Physics is one of the most fundamental scientific disciplines, and its main goal is to understand how the universe behaves.
Posted by Dark ..? 5 years, 2 months ago
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Meghna Thapar 5 years, 2 months ago
Astronomers estimate the distance of nearby objects in space by using a method called stellar parallax, or trigonometric parallax. Simply put, they measure a star's apparent movement against the background of more distant stars as Earth revolves around the sun. To measure large distances, such as the distance of a planet or a star from Earth, astronomers use the principle of parallax. Here, the term parallax is the semi-angle of inclination between two sight-lines to the star, as observed when Earth is on opposite sides of the Sun in its orbit.
Posted by Aadya Singh 5 years, 2 months ago
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Posted by Aadya Singh 5 years, 2 months ago
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Aseem Mahajan 5 years, 2 months ago
$$\dfrac{sinA}{a}=\dfrac{sinB}{b} = \dfrac{sinC}{c}$$
Meghna Thapar 5 years, 2 months ago
The Law of Sines is the relationship between the sides and angles of non-right (oblique) triangles . Simply, it states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in a given triangle.
<div class="mod" data-md="61" style="clear:none"> <div aria-level="3" class="LGOjhe" data-attrid="wa:/description" data-hveid="CBIQBQ" role="heading">The law of sines can be used to compute the remaining sides of a triangle when two angles and a side are known—a technique known as triangulation. It can also be used when two sides and one of the non-enclosed angles are known.</div> </div> <div class="g"> <div class="rc" data-hveid="CAUQAA" data-ved="2ahUKEwjP__Lby4jsAhXwxzgGHbqEB6QQFSgAMAR6BAgFEAA"> <div class="r"> </div> </div> </div>
</a>Posted by Aadya Singh 5 years, 2 months ago
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Aseem Mahajan 5 years, 2 months ago
$$\left|\hat{\imath} \;\;\;\;\;\;\; \hat{\jmath}\;\;\;\;\;\;\; \hat{k} \\ 1 \; \;\;\;\;\;\; 1\;\;\;\;\;\;\; -1 \\ 2 \;\;\;\;\;\;\; -1 \; \;\;\;\;\;\; 4 \right|$$
Solving for matrix , magnitude of cross product:
$$\hat{imath}(1 × 4 - (-1) × (-1)) - \hat{jmath}(1×4 - (-1) × 2) + \hat{k}(1 × -1 - (1 × 2)) \\ = 3\hat{\imath} - 6\hat{\jmath} - 3\hat{k}$$
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Posted by Aseem Mahajan 5 years, 2 months ago
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Aseem Mahajan 5 years, 2 months ago
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Aseem Mahajan 5 years, 2 months ago
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Aseem Mahajan 5 years, 2 months ago
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Yogita Ingle 5 years, 2 months ago
Ao and A.U. both are the units of distances but 1Ao = 10-10m and 1A.U. = 1.496× 1011m.
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