When vec A cdot vec B = - |A||B|,then | vedclass

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

Question

(C) The dot product of two vectors is defined as $\vec A \cdot \vec B = |A||B| \cos 	heta$,where $	heta$ is the angle between the vectors.Given that

Vedclass · Accepted Answer

$\vec A$ and $\vec B$ act in the opposite direction

Vedclass · Answer

(C) The dot product of two vectors is defined as $\vec A \cdot \vec B = |A||B| \cos 	heta$,where $	heta$ is the angle between the vectors.Given that $\vec A \cdot \vec B = - |A||B|$,we can equate the two expressions:$|A||B| \cos 	heta = - |A||B|$Dividing both sides by $|A||B|$ (assuming non-zero vectors),we get:$\cos 	heta = - 1$This implies that $	heta = 180^\circ$.Therefore,the vectors $\vec A$ and $\vec B$ act in the opposite direction.

When $\vec A \cdot \vec B = - |A||B|$,then

Similar Questions

Three forces of $3 \ N$,$4 \ N$,and $12 \ N$ act on a point in mutually perpendicular directions. The magnitude of the resultant force is ........ $N$.

What is a position vector? What is a displacement vector? Explain the equality of vectors.

The vectors $(A + B)$ and $(A - B)$ are at right angles to each other. This is possible under the condition

If $A = 3\hat i + 4\hat j$ and $B = 7\hat i + 24\hat j,$ the vector having the same magnitude as $B$ and parallel to $A$ is

If $A$ and $B$ are two vectors such that $|A + B| = 2|A - B|$,the angle between vectors $A$ and $B$ is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module