WB JEE 2008 | Vector Algebra Question 1 | Physics

WB JEE 2008

MCQ (Single Correct Answer)

-0.25

The angle subtended by the vector $$A = 4\widehat i + 3\widehat j + 12\widehat k$$ with the x-axis is

$${\sin ^{ - 1}}\left( {{3 \over {13}}} \right)$$

$${\sin ^{ - 1}}\left( {{4 \over {13}}} \right)$$

$${\cos ^{ - 1}}\left( {{4 \over {13}}} \right)$$

$${\cos ^{ - 1}}\left( {{3 \over {13}}} \right)$$

WB JEE 2024

MCQ (Single Correct Answer)

-0.25

Let $$\theta$$ be the angle between two vectors $$\vec{A}$$ and $$\vec{B}$$. If $$\hat{a}_{\perp}$$ is the unit vector perpendicular to $$\vec{A}$$, then the direction of $$ \overrightarrow{\mathrm{B}}-\mathrm{B} \sin \theta \hat{\mathrm{a}}_{\perp} \text { is }$$

along $$\vec{B}$$

perpendicular $$\vec{B}$$

along $$\vec{A}$$

perpendicular $$\vec{A}$$

WB JEE 2020

MCQ (Single Correct Answer)

-0.25

Consider the vectors $$A = \hat i + \hat j - \hat k$$ ,$$B = 2\hat i - \hat j + \hat k$$ and $$C = {1 \over {\sqrt 5 }}\left( {\hat i - 2\hat j + 2\hat k} \right)$$ . What is the value of C. (A$$ \times $$ B) ?

3$${\sqrt 2 }$$

18$${\sqrt 5 }$$

WB JEE 2018

MCQ (Single Correct Answer)

-0.25

In a triangle ABC, the sides AB and AC are represented by the vectors $$3\widehat i + \widehat j + \widehat k$$ and $$\widehat i + 2\widehat j + \widehat k$$, respectively. Calculate the angle $$\angle ABC$$.

$${\cos ^{ - 1}}\sqrt {{5 \over {11}}} $$

$${\cos ^{ - 1}}\sqrt {{6 \over {11}}} $$

$$\left( {90^\circ - {{\cos }^{ - 1}}\sqrt {{5 \over {11}}} } \right)$$

$$\left( {180^\circ - {{\cos }^{ - 1}}\sqrt {{5 \over {11}}} } \right)$$

WB JEE Subjects