Mark the correct alternative in each of the following: If are three non-zero vectors, no two of which are collinear and the vector is collinear with is collinear with , then

Question

Philoid · Accepted Answer

As is collinear with ,

-------- (i)

As is collinear with ,

-------- (ii)

Adding both sides of the equation (i),

-------- (iii)

Adding both sides of the equation (iii),

--------- (iv)

Equating the RHS of equation (iii)& (iv), being their LHS equal,

As, a is not collinear with c,

{From equation (iv)}

Option (D)is the answer.

Mark the correct alternative in each of the following:If are three non-zero vectors, no two of which are collinear and the vector is collinear with is collinear with , then

Mark the correct alternative in each of the following:
If are three non-zero vectors, no two of which are collinear and the vector is collinear with is collinear with , then