Question

If a=i+j+k, b=i-j+k ,a×c=b+λa and a.c=1, then [a b c]=? and find the value of λ.​

Answer 1

Step-by-step explanation:

Let the points be OA=−j^−k^,OB=4i^+5j^+λk^,OC=3i^+9j^+4k^,OD=−4i^+4j^+4k^

Given:Four points A,B,C,D are coplanar if the three vectors

AB,AC and AD are coplanar.

[AB,AC,AD]=0

AB=OB−OA=4i^+5j^+λk^+j^+