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Basic Inverse Trigonometric Functions

If the scalar...

Question

If the scalar projection of vector $2^i - x^j +^k$ on vector $-^i +^j - 2^k$ is $\frac{2}{\sqrt{6}},$ then the value of $x$ is

A

4

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B

- 6

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C

- 4

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D

6

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Solution

The correct option is B $- 6$
Projection of vector $2^i - x^j +^k$ on vector $-^i +^j - 2^k$ is
$\frac{(2^i - x^j +^k) \cdot (-^i +^j - 2^k)}{\sqrt{1 + 1 + 4}} = \frac{2}{\sqrt{6}} \Rightarrow - 4 - x = 2 \Rightarrow x = - 6$

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Basic Inverse Trigonometric Functions

Standard XII Mathematics

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