A vector that is perpendicular to both the vectors a - - - 2- - k- and b - - - - - k- is

Name: JEE- Grade 12- Mathematics- Vector Algebra- Session 04- W13
Uploaded: 2022-07-04T10:36:42+05:30
Description: Vector which is perpendicular to both a and b will be collinear with a×b nbsp; Thus nbsp;a×b nbsp; = nbsp;î amp;ĵ nbsp; amp;k̂ nbsp; nbsp; ...

Vector which is perpendicular to both a and b will be collinear with a×b nbsp; Thus nbsp;a×b nbsp; = nbsp;î amp;ĵ nbsp; amp;k̂ nbsp; nbsp; ...

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Byju's Answer

Standard XII

Physics

SHM expression

A vector that...

Question

A vector that is perpendicular to both the vectors $\to a =^i - 2^j +^k$ and $\to b =^i -^j +^k,$ is

-^i +^k

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-^i - 2^j +^k

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^i - 2^j +^k

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^i +^k

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Solution

The correct option is A $-^i +^k$
Vector which is perpendicular to both $\to a$ and $\to b$ will be collinear with $\to a \times \to b$
Thus $\to a \times \to b = ∣ ∣ ∣ ∣ ∣ \begin{matrix} ^i & ^j & ^k 1 & - 2 & 1 1 & - 1 & 1 \end{matrix} ∣ ∣ ∣ ∣ ∣ = -^i +^k$
$∴$ Required vector will be $\pm (-^i +^k)$

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SHM expression

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