Three vectors vec a,vec b,and vec c satisfy t | vedclass

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

Question

(D) Given that $\vec a \cdot \vec b = 0$,this implies that the vector $\vec a$ is perpendicular to the vector $\vec b$.Given that $\vec a \cdot \vec c

Vedclass · Accepted Answer

$\vec b 	imes \vec c$

Vedclass · Answer

(D) Given that $\vec a \cdot \vec b = 0$,this implies that the vector $\vec a$ is perpendicular to the vector $\vec b$.Given that $\vec a \cdot \vec c = 0$,this implies that the vector $\vec a$ is perpendicular to the vector $\vec c$.By the definition of the cross product,the vector $\vec b 	imes \vec c$ results in a vector that is perpendicular to both $\vec b$ and $\vec c$.Since $\vec a$ is perpendicular to both $\vec b$ and $\vec c$,and $\vec b 	imes \vec c$ is also perpendicular to both $\vec b$ and $\vec c$,it follows that $\vec a$ must be parallel to $\vec b 	imes \vec c$.

Three vectors $\vec a$,$\vec b$,and $\vec c$ satisfy the relations $\vec a \cdot \vec b = 0$ and $\vec a \cdot \vec c = 0$. The vector $\vec a$ is parallel to:

Similar Questions

Two vectors $\vec{A}$ and $\vec{B}$ are at right angles to each other,when

If $\overrightarrow{F}=(4 \hat{i}-10 \hat{j}) \text{ N}$ and $\overrightarrow{r}=(-5 \hat{i}-3 \hat{j}) \text{ m}$,then $(\overrightarrow{r} \times \overrightarrow{F})$ is

Three vectors $\vec{A}, \vec{B}$ and $\vec{C}$ are such that $\vec{A} \cdot \vec{B} = 0$ and $\vec{A} \cdot \vec{C} = 0$. Then $\vec{A}$ is parallel to:

What is the angle between $\vec{A}$ and $\vec{B}$ if $\vec{A}$ and $\vec{B}$ are the adjacent sides of a parallelogram drawn from a common point and the area of the parallelogram is $\frac{AB}{2}$?

Find the component of vector $\vec{r}$ in the direction of vector $\vec{a}$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module