Question

7. If \( \vec{A}=2 \hat{i}+3 \hat{j}-\hat{k} \) is a vector which makes an angle \( \theta \) with \( y \) axis, then \( \theta \) is 1) \( \cos ^{-1}\left(\frac{1}{\sqrt{14}}\right) \) 2) \( \cos ^{-1}\left(\frac{\sqrt{14}}{3}\right) \) 3) \( \cos ^{-1}\left(\frac{3}{\sqrt{14}}\right) \) 4) \( \cos ^{-1}\left(\frac{\sqrt{3}}{\sqrt{14}}\right) \)

          7. If \( \vec{A}=2 \hat{i}+3 \hat{j}-\hat{k} \) is a vector which makes an angle \( \theta \) with \( y \) axis, then \( \theta \) is
1) \( \cos ^{-1}\left(\frac{1}{\sqrt{14}}\right) \)
2) \( \cos ^{-1}\left(\frac{\sqrt{14}}{3}\right) \)
3) \( \cos ^{-1}\left(\frac{3}{\sqrt{14}}\right) \)
4) \( \cos ^{-1}\left(\frac{\sqrt{3}}{\sqrt{14}}\right) \)

7. If A⃗=2 î+3 ĵ-k̂ is a vector which makes an angle θ with y axis, then θ is
1) cos ^-1((1)/(√(14)))
2) cos ^-1((√(14))/(3))
3) cos ^-1((3)/(√(14)))
4) cos ^-1((√(3))/(√(14)))

Added by Darnell C.

Master Resource Book in JEE Main Physics

D. B. Singh 1st Edition

Chapter 3

Instant Answer

Solved by Expert Kamalesh Bagrecha

Step 1

\[ \vec{A} = 2 \hat{i} + 3 \hat{j} - \hat{k} \] Show more…

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7. If \( \vec{A}=2 \hat{i}+3 \hat{j}-\hat{k} \) is a vector which makes an angle \( \theta \) with \( y \) axis, then \( \theta \) is 1) \( \cos ^{-1}\left(\frac{1}{\sqrt{14}}\right) \) 2) \( \cos ^{-1}\left(\frac{\sqrt{14}}{3}\right) \) 3) \( \cos ^{-1}\left(\frac{3}{\sqrt{14}}\right) \) 4) \( \cos ^{-1}\left(\frac{\sqrt{3}}{\sqrt{14}}\right) \)