The value of i - j - k - j - i - k - k - i - j - isa 0b -1c 1d 3

nbsp;(c) 1 i^. #160;j^ #215;k^+j^. #160;i^ #215;k^+k^. #160;i^ #215;j^=i^. #160;i^+j^. #160; j^+k^. #160;k^=i^2 j^2+k^2=1 1+1=1 ...

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The value of ...

Question

The value of $\hat{i} \cdot (\hat{j} \times \hat{k}) + \hat{j} \cdot (\hat{i} \times \hat{k}) + \hat{k} \cdot (\hat{i} \times \hat{j}),$ is
(a) 0
(b) −1
(c) 1
(d) 3

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\hat{i}, \hat{j}, \hat{k}

\hat{i} \cdot \hat{j} = 1

\hat{i} \cdot \hat{i} = 1

\hat{i} \times \hat{j} = 1

\hat{i} \times (\hat{j} \times \hat{k}) = 1

\to a = 2^i + λ^j +^k

\to b =^i + 2^j + 3^k

λ

Choose the correct answer
The value of $^i . (^j \times^k) +^j . (^k \times^i) +^k (^i \times^j)$ is
a) Zero
b) - 1
c) 1
d) 3

The reflection of the point 3i + 5j + 7k with respect to the plane $¯ r .$ (2i + j + k) = 6 is

\hat{i} \times (\hat{j} + \hat{k}) + \hat{j} \times (\hat{k} + \hat{i}) + \hat{k} \times (\hat{i} + \hat{j}) .

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