If a-i-4- then a-j - 2j-3k -

The correct option is D 12We have, ( a.j ) ×( 2j 3k ) =a.( j×( 2j 3k ) #160;) =a.( 3( j× k ) #160;) = 3( a.i ) ( ∵ j× k=i ) ...

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Properties of Set Operation

If a.i=4, t...

Question

If $a . i = 4$ , then $(a . j) \times (2 j - 3 k) =$

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(a . i) i + (a . j) j + (a . k) k =

(i - 2 j + 3 k) \times (2 j - 3 k)

\to a = 2 i - 3 j, \to b = 2 j + 3 k,

(\to a + \to b) . (\to a - \to b) =

| \to C |^{2} = 60

\to C \times (ˆ i + 2 ˆ j + 5 ˆ k) = \to 0

\to C \cdot (- 7 ˆ i + 2 ˆ j + 3 ˆ k)

\vec{r} = \hat{i} - \hat{j} + λ (\hat{i} + \hat{j} + \hat{k}) + μ (\hat{i} - 2 \hat{j} + 3 \hat{k})

\vec{r} \cdot (5 \hat{i} - 2 \hat{j} - 3 \hat{k}) = 7

\vec{r} \cdot (5 \hat{i} + 2 \hat{j} - 3 \hat{k}) = 7

\vec{r} \cdot (5 \hat{i} - 2 \hat{j} + 3 \hat{k}) = 7

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