JEE MATHEMATICS MCQ: ADDITION OF VECTORS

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The position vectors of three points

{A}, {B}

and

{C}

are

{i}+{j}

{i}-{j}

and

l {i}+m {j}+n {k}

respectively. The vectors

{O A}

OB, OC

are coplanar if

View answer and explanation

Correct option: C

n=0, l, m

are scalar

Option C (

n=0, l, m

are scalar) is correct because for the vectors to be coplanar, their scalar triple product must be zero, which leads to the condition n=0.

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}}

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a

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{\mathbf{\vec a}}

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{\mathbf{\vec a}}

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\vec{a}, \vec{b}

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\vec{a}, \vec{b}

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

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\vec{a}

\vec{c}

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\lambda

AD

ABC

E,\;BE

AC

F

AF:AC =