JEE MATHEMATICS MCQ: ADDITION OF VECTORS

1 Easy

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Application +4 | -1

A unit vector which is perpendicular to the vector

2 \hat{i}-\hat{j}+2 \hat{k}

and is coplanar with the vectors

\hat{i}+\hat{j}-\hat{k}

and

2 \hat{i}+2 \hat{j}-\hat{k}

View answer and explanation

Correct option: D

\frac{2 \hat{i}+2 \hat{j}-2 \hat{k}}{3}

Option D (

\frac{{2 \hat{{i}}+2 \hat{{j}}-2 \hat{{k}}}}{{3}}

) is correct because it satisfies the conditions of being perpendicular to the given vector and coplanar with the other two vectors.

More Questions from ADDITION OF VECTORS

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\mathbf{a}=\hat{\mathbf{i}}-\hat{\mathbf{j}}, \mathbf{b}=\hat{\mathbf{j}}-\hat{\mathbf{k}}

\mathbf{c}=\hat{\mathbf{k}}-\hat{\mathbf{i}}

\mathbf{d}

a

\mathbf{a} \cdot \mathbf{d}=0=(b \mathbf{c}

\mathbf{d}

{\mathbf{\vec a}}

2\;p

{\mathbf{\vec a}}

p + 1

\vec{a}, \vec{b}

\vec{c}

\vec{d}

\overrightarrow{\mathrm{a}}, \overrightarrow{\mathrm{b}}

\overrightarrow{\mathrm{c}}

|\overrightarrow{\mathrm{a}}+\overrightarrow{\mathrm{b}}+\overrightarrow{\mathrm{c}}+\overrightarrow{\mathrm{d}}|^2

\vec{a}, \vec{b}

\vec{c}

\vec{a}=8 \vec{b}

\vec{c}=-7 \vec{b}

\vec{a}

\vec{c}

2 \mathbf{i}+\mathbf{j}-\mathbf{k},-\mathbf{i}+2 \mathbf{j}+\lambda \mathbf{k}

-5 \mathbf{i}+2 \mathbf{j}-\mathbf{k}

\lambda

AD

ABC

E,\;BE

AC

F

AF:AC =