A vector perpendicular to the vector (4 hat{i | vedclass

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

Question

(C) Two vectors are perpendicular if their dot product is equal to $0$.Let the given vector be $\vec{A} = 4 \hat{i} - 3 \hat{j}$.We check the dot prod

Vedclass · Accepted Answer

$3 \hat{i}+4 \hat{j}$

Vedclass · Answer

(C) Two vectors are perpendicular if their dot product is equal to $0$.Let the given vector be $\vec{A} = 4 \hat{i} - 3 \hat{j}$.We check the dot product of $\vec{A}$ with each option:For option $C$: $\vec{B} = 3 \hat{i} + 4 \hat{j}$.$\vec{A} \cdot \vec{B} = (4 \hat{i} - 3 \hat{j}) \cdot (3 \hat{i} + 4 \hat{j}) = (4 	imes 3) + (-3 	imes 4) = 12 - 12 = 0$.Since the dot product is $0$,the vector $(3 \hat{i} + 4 \hat{j})$ is perpendicular to $(4 \hat{i} - 3 \hat{j})$.

$A$ vector perpendicular to the vector $(4 \hat{i}-3 \hat{j})$ is

Similar Questions

If $a + b + c = 0$,then $a \times b$ is equal to:

The edges of a parallelepiped are represented by the vectors $\hat{i} + 2\hat{j}$,$4\hat{j}$,and $\hat{j} + 3\hat{k}$. Find its volume.

The vectors $\overrightarrow P = a\hat i + a\hat j + 3\hat k$ and $\overrightarrow Q = a\hat i - 2\hat j - \hat k$ are perpendicular to each other. The positive value of $a$ is

If for two vectors $\vec{A}$ and $\vec{B}$,$\vec{A} \times \vec{B} = 0$,then the vectors:

The two vectors have magnitudes $3$ and $5$. If the angle between them is $60^o$,then the dot product of the two vectors will be:

Vedclass Test Series

Exam Paper Generator

Online Exam Module