Question

The vector product of two vectors a and b is zero
The scalar product of A and (A + B) will be(a) zero (b) A2
(d) A2 + AB
(C) AB​

Answer 1

vector A .Vector B = 0

|A||B |cos@ = 0

so

@ = π/2

Now

vector A cross vector (A+B)

=A(A+B)sin@

= A^2 + AB

option d

Answer 2

Answer : The scalar product of A and (A + B) = A² + AB Step-by-step Explanation : Given : The vector product of two vectors a and b is zero To find : The scalar product of A and (A + B) = ? According to given conditions, Vector a × vector b = 0 or ABsinθ = 0 As A ≠ 0 and B ≠ 0 ∴ sinθ = 0 or θ = 0∘ The two vectors are parallel. vector A . ( VectorA + vectorB ) = vectorA . VectorA + vectorA . VectorB =A² + ABcosθ =A²+ ABcos0° ------ ( θ = 0 ) =A² + AB Hence , The scalar product of A and (A + B) = A² + AB