Question

Prove that vector A=I+2J+3K and B=2I-J are perpendicular to each other?​

Answer 1

Answer:

if vectors are perpendicular then their dot product or scalar product must give zero..

A VECTOR. B VECTOR= 2-2=0

hence proved vectors were perpendicular...

Answer 2

Given ,

A = I + 2J + 3K

B = 2I - J

We know that ,

If two vectors " x " and " y " are perpendicular to each other then their dot product or scalar product is zero

$\boxed{ \sf{\vec{x}.\vec{y} = 0}}$

Thus ,

A.B = 1(2) + 2(-1) + 3(0)

A.B = 2 - 2 + 0

A.B = 0

Therefore ,

• The vectors are A and B are perpendicular to each other