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Dot Product of Two Vectors

If the vector...

Question

If the vectors $\to a = 2^i + λ^j +^k, \to b =^i - 2^j + 3^k$ are perpendicular, then the value of $2 λ$ is

A

5.00

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B

05

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C

5.0

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D

5

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Solution

The vectors $\to a$ and $\to b$ are perpendicular to each other if
$\to a \cdot \to b = 0$
$\Rightarrow (2^i + λ^j +^k) \cdot (^i - 2^j + 3^k) = 0$
$\Rightarrow 2 - 2 λ + 3 = 0$
$∴ λ = \frac{5}{2}$

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Dot Product of Two Vectors

Standard XII Mathematics

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