AP EAMCET · Maths · Vector Algebra
If \(\vec{a}, \vec{b}\) are the two non collinear vectors. then \(|\vec{b}| \vec{a}+|\vec{a}| \vec{b}\) represents
- A a vector parallel to an angle bisector of \(\vec{a}, \vec{b}\)
- B a vector along the difference of the vectors \(\vec{a}, \vec{b}\)
- C a vector along \(\vec{a}+\vec{b}\)
- D a vector outside the triangle having \(\vec{a}, \vec{b}\) as adjacent sides
Answer & Solution
Correct Answer
(A) a vector parallel to an angle bisector of \(\vec{a}, \vec{b}\)
Step-by-step Solution
Detailed explanation
\(|\overrightarrow{\mathrm{b}}| \vec{a}+|\overrightarrow{\mathrm{a}}| \vec{b}=\frac{1}{|\vec{a}||\vec{b}|}\left[\frac{\vec{a}}{|\vec{a}|}+\frac{\vec{b}}{|\vec{b}|}\right][\because \vec{a} \neq 0, \vec{b} \neq 0]\) \(=k[\vec{a}+\vec{b}]\) Which is a vector parallel to an angle…
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