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Ask QuestionPosted by Sagarika Sahoo 6 years, 3 months ago
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Sia ? 6 years, 3 months ago
Given two unit vectors, their cross product has a magnitude of 1 if the two are perpendicular and a magnitude of zero if the two are parallel. The dot product of two unit vectors behaves just oppositely: it is zero when the unit vectors are perpendicular and 1 if the unit vectors are parallel.
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Sia ? 6 years, 3 months ago
An argument of the complex number z = x + iy, denoted arg(z), is defined in two equivalent ways: Geometrically, in the complex plane, as the angle φ from the positive real axis to the vector representing z. The numeric value is given by the angle in radians and is positive if measured counterclockwise.
Posted by Atif Anvar 6 years, 3 months ago
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Posted by Sivamitha Sivmit 6 years, 3 months ago
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Sia ? 6 years, 3 months ago
In the expansion of (x + y)n,
T4 = T3+1 = nC3xn-3 {tex}\times{/tex} y3
and T13 = T12+1 = nC12xn-12 {tex}\times{/tex} y12
We are given that coefficients of 4th and 13th terms are equal.
{tex}\therefore{/tex} nC3 = nC12
{tex}\Rightarrow{/tex} nC3 = nCn-12 [{tex}\because{/tex} nCr = nCn-r]
{tex}\therefore{/tex} n - 12 = 3 {tex}\Rightarrow{/tex} n = 15
Posted by Beby Choudhary 6 years, 3 months ago
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Shivam Yadav 6 years, 3 months ago
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