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Question: Answered & Verified by Expert
The unit vector in the direction of the vector $\mathbf{a}+2 \mathbf{b}-\mathbf{c}$ is equal to
MathematicsVector AlgebraCOMEDKCOMEDK 2012
Options:
  • A $\frac{\mathbf{a}+2 \mathbf{b}-\mathbf{c}}{\sqrt{6}}$
  • B $\frac{\mathbf{a}+2 \mathbf{b}-\mathbf{c}}{2}$
  • C $\frac{\mathbf{a}+2 \mathbf{b}-\mathbf{c}}{4}$
  • D $\frac{\mathbf{a}+2 \mathbf{b}-\mathbf{c}}{6}$
Solution:
1431 Upvotes Verified Answer
The correct answer is: $\frac{\mathbf{a}+2 \mathbf{b}-\mathbf{c}}{\sqrt{6}}$
Given that, $+2 b-c$
So, required unit vector $=\frac{a+2 b-c}{\sqrt{1+4+1}}=\frac{a+2 b-\mathbb{c}}{\sqrt{6}}$

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