Question

Let $\overline{a}$ and $\overline{b}$ be non collinear vectors. A vector $\overline{r}$ is coplanar with $\overline{a}$ and $\overline{b}$ then $\overline{r}$ can be written as
(where $t_{1}and{t}_2$ are scalars.)

• A. $t_1\overline{a}+t_2\overline{b}$
• B. $t_1\overline{a}\times t_2\overline{b}$
• C. $t_1\overline{a}{t}_2\overline{b}$
• D. none

Answer 1

Answer: (A)

$t_1\overline{a}+t_2\overline{b}$

Given vectors are non collinear

$\overline{a},\overline{b}$

then by definition we can represent

$\overline{r}=t_1\overline{a}+t_2\overline{b}$