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CBSE Class 12 Math 2009 Solved Paper

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Question : 7 of 29
Marks: +1, -0
Write a unit vector in the direction of b⃗\vec{b} = 2i^+j^+2k^2\hat{i}+\hat{j}+2\hat{k}
Solution:  
b⃗\vec{b} = 2i^+j^+2k^2\hat{i}+\hat{j}+2\hat{k}
Unit vector in the direction of b is given by b⃗∣b⃗∣\frac{\vec{b}}{|\vec{b}|}
b⃗∣b⃗∣\frac{\vec{b}}{|\vec{b}|} = 2i^+j^+2k^9\frac{2\hat{i}+\hat{j}+2\hat{k}}{\sqrt{9}}
= 13(2i^+j^+2k^)\frac{1}{3}(2\hat{i}+\hat{j}+2\hat{k})
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