Question

Show that A^=2i^+3j^-4k^andB^=2i^+4j^+4k^ are perepedicular to each other

Answer 1

Answer:

solved

Explanation:

A^. B^ =(2i^+3j^-4k^).(2i^+4j^+4k^ ) = 4 + 12 -16 = 0 = 6√29 cos∝

cos∝ = o , ∝ = 90°

Answer 2

Explanation:

when the value of cos=90 (cos90=0)

A=2i+3j-4k

B=2i+4j+4k

the dot product of A and B

A.B=0

-2i+2i-3j+4j-4k+4k=0

since I,j,and k are showing direction we can neglect that

0i+1j-0k=0

the are =0

so they are perpendicular to each other

Hence prove