Question

vector a is called called orthogonal to vector b if a) a×b=0 b)a+b=0 c) a-b=0 d) a.b=0​

Answer 1

Answer:

$\implies\:\vec{a}.\vec{b}=0$

option (d) is correct

Step-by-step explanation:

Concept used:

Two vectors are said to be orthogonal if

they are perpendicular to each other.

We know that scalar product of $\vec{a}\:and\:\vec{b}$ is

$\vec{a}.\vec{b}=|\vec{a}|\:|\vec{b}|\:cos\theta$

$\vec{a}$ is orthogonal to $\vec{b}$

Then $\theta=90$

$\implies\:\vec{a}.\vec{b}=|\vec{a}|\:|\vec{b}|\:cos\:90$

$\implies\:\vec{a}.\vec{b}=|\vec{a}|\:|\vec{b}|\:(0)$

$\implies\:\vec{a}.\vec{b}=0$