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Addition of Vectors

If 2a - 4i ...

Question

If $2 ¯ ¯ ¯ a - 4 ˆ i - 2 ˆ j + ˆ k = 0$ then find $¯ ¯ ¯ a$ .

A

2 ¯ j + ¯ ¯ ¯ k

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B

2 ˆ i + ˆ j - \frac{1}{2} ˆ k

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C

2 ¯ i + ¯ j

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D

2

¯ ¯¯¯¯¯¯¯¯¯ ¯ i - j

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Solution

The correct option is D $2 ˆ i + ˆ j - \frac{1}{2} ˆ k$
$\begin{matrix} 2 ¯ ¯ ¯ a - 4 ˆ i - 2 ˆ j + ˆ k = 0 2 ¯ ¯ ¯ a = 4 ˆ i + 2 ˆ j - ˆ k ¯ ¯ ¯ a = (2 ˆ i + ˆ j - \frac{1}{2} ˆ k) \end{matrix}$

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