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What is the value of m …

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What is the value of m in ( i+mj+k)cap to be unit vector?
  • 1 answers

Sia ? 6 years, 4 months ago

For unit vector, we have
{tex}| \hat { \mathbf { i } } + m \hat { \mathbf { j } } + \hat { \mathbf { k } } | = \sqrt { 1 + m ^ { 2 } + 1 } = 1{/tex}
m2 + 2 = 1
{tex}m ^ { 2 } = - 1 \Rightarrow m = \sqrt { - 1 }{/tex}
Hence, m is imaginary number.

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