If a = i + j - k , b =- i +2 j +2 k and c =- i +2 j - k , then a unit vector normal to the vectors a + b and b - c is:

If a = i + j - k , b =- i +2 j +2 k and c =- i +2 j - k , then a …

MCQ

If $\vec{\text{a}}=\hat{\text{i}}+\hat{\text{j}}-\hat{\text{k}},\vec{\text{b}}=-\hat{\text{i}}+2\hat{\text{j}}+2\hat{\text{k}}$ and $\vec{\text{c}}=-\hat{\text{i}}+2\hat{\text{j}}-\hat{\text{k}},$ then a unit vector normal to the vectors $\vec{\text{a}}+\vec{\text{b}}$ and $\vec{\text{b}}-\vec{\text{c}}$ is:

✓
$\hat{\text{i}}$
B
$\hat{\text{j}}$
C
$\hat{\text{k}}$
D
$\text{None of these}$

✓

Answer

Correct option: A.

$\hat{\text{i}}$

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