JEE PHYSICS MCQ: MOTION IN PLANE

1 Hard

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Application +4 | -1

The unit vector in ZOX plane making angles

45^{\circ}

and

60^{\circ}

respectively, with

a=2 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}-\hat{\mathbf{k}}

and

\mathbf{b}=\hat{\mathbf{j}}-\hat{\mathbf{k}}

, is

View answer and explanation

Correct option: B

\frac{1}{\sqrt{2}}(\hat{i}-\hat{k})

Option B (

\frac{1}{\sqrt{2}}(\hat{i}-\hat{k})

) is correct because it satisfies the conditions of being a unit vector in the ZOX plane and making the specified angles with vectors a and b.

More Questions from MOTION IN PLANE

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\mathrm{\vec P} = \mathrm{\vec A} + \mathrm{\vec B}\,\,\mathrm{and}\,P = A + B.

\mathrm{\vec A}\,and\,\mathrm{\vec B}

0^{\circ}

90^{\circ}

\mathrm{If}\,(\mathbf{a}+3 \mathbf{b}) \cdot(7 \mathbf{a}-5 \mathbf{b})=0

(\mathbf{a}-4 \mathbf{b}) \cdot(7 \mathbf{a}-2 \mathbf{b})=0

\mathbf{a}

\mathbf{b}

\theta

\left(90^{\circ}-\theta\right)

39.2 \mathrm{~ms}^{-1}

50 \mathrm{~m}

{g}=9.8 \mathrm{~ms}^{-2}