Statement 1: Let $\vec{a},\vec{b},\vec{c}and\vec{d}$ be the position vectors of four points $A,B,CandD$ and $3\vec{a}-2\vec{b}+5\vec{c}-6\vec{d}=0.$ Then points $A,B,C,andD$ are coplanar. Statement 2: Three non-zero, linearly dependent coinitial vector $\left(\vec{P}Q,\vec{P}Rand\vec{P}S\right)$ are coplanar. Then $\vec{P}Q=\lambda \vec{P}R+\mu \vec{P}S,where\lambda and\mu$ are scalars.

Views: 846 students