Question

The plane which can be formed with the vectors $\overline{a}=3\overline{i}-4\overline{j}+2\overline{k},\overline{b}=2\overline{i}-\overline{j}-6\overline{k}$,$\overline{c}=5\overline{i}-5\overline{j}-4\overline{k}$ is

• A. Quadralateral
• B. Triangle
• C. Circle
• D. Hyperbola

Answer 1

Answer: (B)

Triangle

Here, we observe:

$\overline{c}=\overline{a}+\overline{b}$

Hence, these 3 vectors can form a triangle.

For eg., let x be a scalar quantity

3 lines $x\overline{c},x\overline{a}and(-x)\overline{b}$ form a triangle