Given vector a=(-1,1), b=(-3,-2), find (b-a)×(b+a)

Given vector a=(-1,1), b=(-3,-2), find (b-a)×(b+a)

(B-a)×(b+a)
=(-2,-3)*(-4,-1)
=(8,3)

Given vectors a={1,-1,2} and b={2,3,λ}, then λ= A is perpendicular to b Given vectors a={1,-1,2} and b={2,3,λ}, then λ= A perpendicular to b

A is perpendicular to b ------1*2+(-1)*3+2λ=0----λ=0.5

Given vector a=(1-2), vector b=(-2.1), find vector a multiplied by b

Vector a times b=1*(-2)+(-2)*1
=-2-2
=-4

Given vector a=(2,2√3), b=(1,-√3), then =?

2π/3

Given vector a=(-5,2), b=(2,1), then a+b

A+b=(-3,1)

A+B=(-3,1)

If a=(2,1), b=(4,0), then the projection of vector a in vector b is

Cosθ=a*b/( a b )=8/4√5=2√5/5 Projection of vector a in vector b= a cosθ=√5*2√5/5=2

Cosθ=a*b/( a b )=8/4√5=2√5/5 Projection of vector a in vector b direction = a cosθ=√5*2√5/5=2