Let a^=2i^+j^−2k^and b=i^+j^. Let cbe a vector such that ∣c−a∣=3,∣∣(a×b)×c∣∣=3and the angle between cand a×bbe 300. Then ac˙is equal to : 5 (2) 81 (3) 825 (4) 2

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Let {{a}}={2}{{i}}+{{j}}-{2}{{k}}and {{b}}={{i}}+{{j}}. Let {{

Question

Let $\overset{a}{^} = 2 \hat{i} + \hat{j} - 2 \hat{k}$ and $b = \hat{i} + \hat{j}$ . Let $c$ be a vector such that $∣ c - a ∣ = 3, ∣ ∣ (a \times b) \times c ∣ ∣ = 3$ and the angle between $c$ and $a \times b$ be $30^{0}$ . Then $a \dot{c}$ is equal to : $5$ (2) $\frac{1}{8}$ (3) $\frac{25}{8}$ (4) $2$

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Emily Discussed

Let

\overset{a}{^} = 2 \hat{i} + \hat{j} - 2 \hat{k}

and

b = \hat{i} + \hat{j}

. Let

c

be a vector such that

∣ c - a ∣ = 3, ∣ ∣ (a \times b) \times c ∣ ∣ = 3

and the angle between

c

and

a \times b

30^{0}

. Then

a \dot{c}

is equal to :

5

(2)

\frac{1}{8}

(3)

\frac{25}{8}

(4)

2

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Question Text

Let

\overset{a}{^} = 2 \hat{i} + \hat{j} - 2 \hat{k}

and

b = \hat{i} + \hat{j}