Q.The vector $\vec{r} = x\hat{i} + y\hat{j} + z\hat{k}$ lies in the plane of vectors $\vec{a} = 3\hat{i} - \hat{j} + \hat{k}$ and $\vec{b} = \hat{i} + 2\hat{j} + \hat{k}$ if

x + 3y + 5z = 0

5x + 2y - 3z = 0

3x - y + z = 0

x + 2y + 3z = 0

The correct solution involves applying the fundamental concept to derive the final value step by step...

Already a member? Login here

Q.The vector r⃗=xi^+yj^+zk^\vec{r} = x\hat{i} + y\hat{j} + z\hat{k}r=xi^+yj^​+zk^ lies in the plane of vectors a⃗=3i^−j^+k^\vec{a} = 3\hat{i} - \hat{j} + \hat{k}a=3i^−j^​+k^ and b⃗=i^+2j^+k^\vec{b} = \hat{i} + 2\hat{j} + \hat{k}b=i^+2j^​+k^ if