Vectors a = (3, 4) and b = (m, 2) are given. For which value of m they are perpendicular?

The value of m is .

Step-by-step explanation:

If two vectors and are perpendicular to each other then their dot product will be zero i.e

If two vectors and are parallel to each other then their cross product will be zero i.e

Given vectors are a= (3,4) and b=(m,2)

The position vector of  is =

The position vector of  is =

Since and are perpendicular.

Then,

⇒3.m +4.2=0

⇒3m+8=0

⇒3m= -8

The value of m is .

step-by-step explanation:

use pothagarean therom

a^2+b^2=c^2 so first ac

acm is a right triangle because c= 90°

and am (the hypotenuse or c) =16+9 =25

but there is not enough info we need another angle or side length