If a -k- and b -k- then area vector of plane formed by a and b isA- -k-B -k-C- 2 -D- -2 -k-

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Byju's Answer

Standard XII

Physics

Multiplication with Vectors

If a =î+ĵ+k̂,...

Question

If $\to a =^i +^j +^k$ , and $\to b =^j -^k$ then area vector of plane formed by $\to a$ and $\to b$ is

^i -^j -^k

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^j -^k

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- 2^i +^j +^k

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2^i

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Solution

The correct option is C $- 2^i +^j +^k$
Area vector can be calculated by using the cross product of two vectors.
$(\to a \times \to b) = (^i +^j +^k) \times (^j -^k)$
$\to a \times \to b = - 2^i +^j +^k$

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If →a=^i+^j+^k, and →b=^j−^k then area vector of plane formed by →a and →b is

The correct option is C −2^i+^j+^kArea vector can be calculated by using the cross product of two vectors. (→a×→b)=(^i+^j+^k)×(^j−^k) →a×→b=−2^i+^j+^k

If $\to a =^i +^j +^k$ , and $\to b =^j -^k$ then area vector of plane formed by $\to a$ and $\to b$ is

The correct option is C $- 2^i +^j +^k$
Area vector can be calculated by using the cross product of two vectors.
$(\to a \times \to b) = (^i +^j +^k) \times (^j -^k)$
$\to a \times \to b = - 2^i +^j +^k$