Question

prove that vector A=icap+2jcap+3kcap and vector B=2icap-jcap are perpendicular to each other​

Answer 1

Explanation:

this is you answer....

Answer 2

Explanation:

Taking dot product of given vectors: ( i+2j+3k ) & ( 2i−j ) as follows

( i+2j+3k ) ⋅ ( 2i−j ) = 2( i⋅i ) + 3( j⋅i ) + 3( k⋅i ) − i⋅j −2( j⋅j ) −3( k⋅j )

| i+2j+3k | | 2i−j | cosθ = 2(1) + 3(0) + 3(0) − 0 + 2(1) − 3(0)

cosθ=0

cosθ=cos90°

θ=90°

Hence, the given vectors: (i+2j+4k) & (2i−j) are perpendicular to each other