If the coordinates of points A, B, C, and D a | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) The direction ratios of the line segment $AB$ are given by $(x_2 - x_1, y_2 - y_1, z_2 - z_1) = (4-1, 5-2, 7-3) = (3, 3, 4)$.Let these be $a_1 = 3

Vedclass · Accepted Answer

None of these

Vedclass · Answer

(D) The direction ratios of the line segment $AB$ are given by $(x_2 - x_1, y_2 - y_1, z_2 - z_1) = (4-1, 5-2, 7-3) = (3, 3, 4)$.Let these be $a_1 = 3, b_1 = 3, c_1 = 4$.The direction ratios of the line segment $CD$ are given by $(x_4 - x_3, y_4 - y_3, z_4 - z_3) = (2 - (-4), 9 - 3, 2 - (-6)) = (6, 6, 8)$.Let these be $a_2 = 6, b_2 = 6, c_2 = 8$.Notice that $(a_2, b_2, c_2) = 2 	imes (a_1, b_1, c_1)$.Since the direction ratios are proportional,the lines $AB$ and $CD$ are parallel.Therefore,the angle between them is $0$.

If the coordinates of points $A, B, C,$ and $D$ are $(1, 2, 3), (4, 5, 7), (-4, 3, -6),$ and $(2, 9, 2)$ respectively,then the angle between $AB$ and $CD$ is:

Similar Questions

If $|\vec{c}|^2 = 60$ and $\vec{c} \times (\hat{i} + 2\hat{j} + 5\hat{k}) = \vec{0}$,then a value of $\vec{c} \cdot (-7\hat{i} + 2\hat{j} + 3\hat{k})$ is

If $a = 2i + 2j - k$ and $|xa| = 1$,then $x =$

The system of unit vectors $i, j, k$ is

If $2 \hat{i}+\hat{j}-\hat{k}$,$\hat{i}-3 \hat{j}+5 \hat{k}$ and $-3 \hat{i}+4 \hat{j}+4 \hat{k}$ are the position vectors of three points $A$,$B$ and $C$ respectively,then

If the vectors $\vec{a} = \lambda \hat{i} + 2\hat{j} - 3\hat{k}$ and $\vec{b} = \sqrt{\lambda} \hat{i} + \sqrt{13} \hat{j}$ have the same magnitude,then the value of $\lambda$ is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module