The components of a vector $a$ along and perpendicular to the non-zero vector $b$ are respectively:
- A$\frac{a \cdot b}{|a|}, \frac{|a \times b|}{|a|}$
- B$\frac{a \cdot b}{|b|}, \frac{|a \times b|}{|b|}$
- C$\frac{a \cdot b}{|a|}, \frac{a \cdot b}{|a|}$
- D$\frac{|a \times b|}{|a|}, \frac{|a \times b|}{|b|}$
Explore More
Similar Questions
If the vectors $\vec{AB} = p \hat{i} + q \hat{j} + r \hat{k}$,$\vec{AC} = s \hat{i} + 3 \hat{j} + 4 \hat{k}$,and $\vec{CB} = 3 \hat{i} + \hat{j} - 2 \hat{k}$ form a $\triangle ABC$,then the values of $p, q, r$ and $s$ such that the area of that $\triangle ABC$ is $5 \sqrt{6}$ are:
DifficultTS EAMCET 2020
View SolutionIf $\alpha=\hat{i}-3 \hat{j}$ and $\beta=\hat{i}+2 \hat{j}-\hat{k}$,express $\beta$ in the form $\beta=\beta_1+\beta_2$,where $\beta_1$ is parallel to $\alpha$ and $\beta_2$ is perpendicular to $\alpha$. Then $\beta_1$ is given by:
MediumKCET 2022
View SolutionThe angle between unit vectors $\bar{a}$ and $\bar{b}$ in $\mathbb{R}^3$ is $\theta$. Then,the value of $\left|\frac{\bar{a} \cdot \bar{a}}{\bar{a} \cdot \bar{b}} \cdot \frac{\bar{b} \cdot \bar{a}}{\bar{b} \cdot \bar{b}}\right| + |\bar{a} \times \bar{b}|^2$ is:
If $A(4,7,8)$,$B(2,3,4)$,and $C(2,5,7)$ are the position vectors of the vertices of a triangle $ABC$ and if the internal bisector of $\angle A$ meets $BC$ at $D$,then $AD=$
If $a, b, c$ are three vectors such that $a = b + c$ and the angle between $b$ and $c$ is $\pi / 2$,then:
Easy
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo