JEE MATHEMATICS MCQ: ADDITION OF VECTORS

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Analyzing +4 | -1

The vector equations of the two lines

L_1

and

L_2

are given by

L_1: \mathbf{r}=(2 \mathbf{i}+9 \mathbf{j}+13 \mathbf{k})+\lambda(\mathbf{i}+2 \mathbf{j}+3 \mathbf{k})

and

\quad L_2: \mathbf{r}=(-3 \mathbf{i}+7 \mathbf{j}+p \mathbf{k})+\mu(-\mathbf{i}+2 \mathbf{j}-3 \mathbf{k})

.
Then, the lines

L_1

and

L_2

are

View answer and explanation

Correct option: C

intersecting lines for

p=-2

The lines

L_1

and

L_2

intersect when

p=-2

, which is found by setting up a determinant equation based on the direction vectors and position vectors of the lines.

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 =