TS EAMCET · Maths · Vector Algebra
If \(\overrightarrow{\mathbf{a}}, \overrightarrow{\mathbf{b}}, \overrightarrow{\mathbf{c}}\) are three non-coplanar vectors, then the vector equation \(\overrightarrow{\mathbf{r}}=(1-p-q) \overrightarrow{\mathbf{a}}+p \overrightarrow{\mathbf{b}}+q \overrightarrow{\mathbf{c}}\) represents a :
- A straight line
- B plane
- C plane passing through the origin
- D sphere
Answer & Solution
Correct Answer
(B) plane
Step-by-step Solution
Detailed explanation
We have, \(\overrightarrow{\mathbf{r}}=(1-p-q) \overrightarrow{\mathbf{a}}+p \overrightarrow{\mathbf{b}}+q \overrightarrow{\mathbf{c}}\) where \(p, q\) are scalars. It represents an equation of the plane.
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