Question

Encuentre angulos entre A=2i+2j-k , B=7i+24k

Answer 1

Answer:

I don't know the answers

Answer 2

97.66 ° es el ángulo entre vectores

Explanation:

A  = 2i+2j-k

B = 7i  + 0j  + 24k

α = angle between vectors

Cosα   =  (2 * 7  + 2 * 0  + (-1)24) / | √(2² + 2² + 1²) √(7² + 0² + 24²)

=> Cosα   = ( 14 + 0  - 24) / |  √9√625

=> Cosα   = (- 10) / |  3*25

=> Cosα   = (- 2) / |  3*5

=>  Cosα   = -2/15

=>  α = Cos⁻¹(-2/15)

=> α = 97.66°

or Sinα    =   |  A  x  B | / | A | | B |

A  x  B = 48i  - 55j  - 14k    

| A x B |  = 5√221

Sinα    =   5√221/3*25

=>  Sinα    =  √221 / 15

97.66° is the angle between vectors

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