Question

a vector is equal to two i CAP - 2 J cap + K cap and B cap is equals to ICAP + 2 J cap - 3 k cap and C cap is equals to 3 ICAP - 2 J cap + K cap are coplanar find the value of Y​

Answer 1

Answer:

Given, a=2i+2j+3k,b=−1+2j+k and c=3i+j

We need to find value of a+tb⊥c

⇒(a+tb)⋅c=0

⇒a⋅c+tb⋅c=0

⇒t=−

b⋅c

a⋅c

⇒t=−

(−i+2j+k)⋅(3i+j)

(2i+2j+3k)⋅(3i+j)

⇒t=−

−3+2+0

6+2+0

=8