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Scalar Matrix

If a=-i+k a...

Question

If $¯ ¯ ¯ a = - ¯ i + ¯ ¯ ¯ k$ and $¯ ¯ b = 2 ¯ j - ¯ ¯ ¯ k$ are the adjacent sides of a parallelogram then its vector $\to r$ is

2 ¯ i + ¯ j + 2 ¯ ¯ ¯ k

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- (2 ¯ i + ¯ j + 2 ¯ ¯ ¯ k)

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2 ¯ i - ¯ j + 2 ¯ ¯ ¯ k

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2 ¯ i + ¯ j - 4 ¯ ¯ ¯ k

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Solution

The correct option is C $- (2 ¯ i + ¯ j + 2 ¯ ¯ ¯ k)$
Vector $\to r$ is given by $\to a \times \to b$
$\to a \times \to b = ∣ ∣ ∣ ∣ ∣ \begin{matrix} ^i & ^j & ^k - 1 & 0 & 1 0 & 2 & - 1 \end{matrix} ∣ ∣ ∣ ∣ ∣ = - 2^i -^j - 2^k$

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