SOLUTION: Let →a=⟨2,6,−3⟩ and →b=⟨8,6,1⟩. Find (→a−→b)×(→a+→b)

Algebra ->  Vectors -> SOLUTION: Let →a=⟨2,6,−3⟩ and →b=⟨8,6,1⟩. Find (→a−→b)×(→a+→b)      Log On


   



Question 1141439: Let →a=⟨2,6,−3⟩ and →b=⟨8,6,1⟩.
Find (→a−→b)×(→a+→b)

Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
(→a - →b) = <2-8, 6-6, -3-1> = <-6, 0, -4>

(→a + →b) = <2+8, 6+6, -3+1> = <10, 12, -2>

(→a - →b) x (→a + →b) = +%28+matrix%283%2C3%2Ci%2Cj%2Ck%2C+-6%2C0%2C4%2C+10%2C12%2C-2%29+%29+

=
= +-48i+%2B+28j+-+72k+

= < -48, 28, -72 >