COMEDK · Maths · 33. Vector Algebra
The projection of \(\mathrm{a}=2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}-2 \hat{\mathrm{k}}\) on \(\mathrm{b}=\hat{\mathrm{i}}+2 \hat{\mathrm{j}}+3 \hat{\mathrm{k}}\) is
- A \(\frac{1}{\sqrt{14}}\)
- B \(\frac{2}{\sqrt{14}}\)
- C \(\sqrt{14}\)
- D \(\frac{-2}{\sqrt{14}}\)
Answer & Solution
Correct Answer
(B) \(\frac{2}{\sqrt{14}}\)
Step-by-step Solution
Detailed explanation
We have, \[ a=2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}-2 \hat{\mathbf{k}}, \mathbf{b}=\hat{\mathbf{i}}+2 \hat{\mathbf{j}}+3 \hat{\mathbf{k}} \] Now,…
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