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Let {{a}}={{i}}+{{j}}+{{k}},{{b}}={{i}}-{{j}}+{{k}}{a}{n}{d}{{

Question

Let $a = \hat{i} + \hat{j} + \hat{k}, b = \hat{i} - \hat{j} + \hat{k} a n d c = \hat{i} - \hat{j} - \hat{k}$ be three vectors. A vector $v$ in the plane of $a a n d b,$ whose projection on $c$ is $\frac{1}{3}$ is given by a. $\hat{i} - 3 \hat{j} + 3 \hat{k}$ b. $- 3 \hat{i} - 3 \hat{j} + 3 \hat{k}$ c. $3 \hat{i} - \hat{j} + 3 \hat{k}$ d. $\hat{i} + 3 \hat{j} - 3 \hat{k}$

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Let

a = \hat{i} + \hat{j} + \hat{k}, b = \hat{i} - \hat{j} + \hat{k} a n d c = \hat{i} - \hat{j} - \hat{k}

be three vectors. A vector

v

in the plane of

a a n d b,

whose projection on

c

\frac{1}{3}

is given by a.

\hat{i} - 3 \hat{j} + 3 \hat{k}

- 3 \hat{i} - 3 \hat{j} + 3 \hat{k}

3 \hat{i} - \hat{j} + 3 \hat{k}

\hat{i} + 3 \hat{j} - 3 \hat{k}

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Question Text	Let $a = \hat{i} + \hat{j} + \hat{k}, b = \hat{i} - \hat{j} + \hat{k} a n d c = \hat{i} - \hat{j} - \hat{k}$ be three vectors. A vector $v$ in the plane of $a a n d b,$ whose projection on $c$ is $\frac{1}{3}$ is given by a. $\hat{i} - 3 \hat{j} + 3 \hat{k}$ b. $- 3 \hat{i} - 3 \hat{j} + 3 \hat{k}$ c. $3 \hat{i} - \hat{j} + 3 \hat{k}$ d. $\hat{i} + 3 \hat{j} - 3 \hat{k}$
Answer Type	Video solution: 1
Upvotes	150