Question

Find a vector perpendicular to both the vectors i-2j+3k and i+2j-k

Answer 1

Answer:

(-i+j+k)/√(3)

Step-by-step explanation:

Let A=ai+bj+ck be a vector which is perpendicular to B=i-2j+3k and C=i+2j-k.

A.B=0 and A.C=0=>

a-2b+3c=0

a+2b-c=0

=> a/(2-6)=b/(3+1)=c/(2+2)

=>a/(-1)=b/1=c/1

Thus A=-i+j+k.

Hence required unit vector along vector A=(-i+j+k)/√(3).