A- - 2 i - j - k- b- - i - 2j - k and c- - i - j - 2 k- A vector coplanar with b- and c- whose projection on a- is magnitude -23 is

The correct option is B 2 i j + 5 k Let the required vector be r⃗ , then r⃗ = x_1 #160;b⃗ + x_2 #160;c⃗ and r⃗· #160;a⃗ = √(23) ( ...

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Multiplication with Vectors

a⃗ = 2 i - j ...

Question

$\to a = 2 ˆ i - ˆ j + ˆ k, \to b = ˆ i + 2 ˆ j - ˆ k$ and $\to c = ˆ i + ˆ j - 2 ˆ k$ . A vector coplanar with $\to b$ and $\to c$ whose projection on $\to a$ is magnitude $\sqrt{\frac{2}{3}}$ is

2 ˆ i + 3 ˆ j - 3 ˆ k

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- 2 ˆ i - ˆ j + 5 ˆ k

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2 ˆ i + 3 ˆ j + 3 ˆ k

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2 ˆ i + ˆ j + 5 ˆ k

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