Math, asked by pandeyji26, 1 year ago

a cross b whole square

Answers

Answered by Anonymous
2
a2 ×B2......is the answer

pandeyji26: i have to prove a cross b whole sq is equal to mod a whole sq mod b whole sq minus a. b whole sq
Anonymous: sry u can report my answer
Answered by Agastya0606
13

given: (a×b)²

to prove: (a×b)²= (a)²× (b)²- (a.b)²

Step-by-step explanation:

1. cross product is given by:

  • a×b = mod(a)× mod(b)× sin(x)

2. dot product is given by:

a.b = mod(a)× mod(b)× cos(x)

squaring cross product written in (1), we get

(a×b)² = (mod(a)× mod(b)× sin(x))²

          = (a)²× (b)²×sin²(x)

          = (a)²× (b)²× (1-cos²(x))

          = (a)²× (b)² - (a)²× (b)²× cos²(x)

   (a×b)²  = (a)²× (b)²- (a.b)²

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