TS EAMCET · Maths · Vector Algebra
If the magnitudes of \(\mathbf{a}, \mathbf{b}\) and \(\mathbf{a}+\mathbf{b}\) are respectively 3,4 and 5 , then the magnitude of \((\mathbf{a}-\mathbf{b})\) is
- A 3
- B 4
- C 6
- D 5
Answer & Solution
Correct Answer
(D) 5
Step-by-step Solution
Detailed explanation
We have, \(|\mathbf{a}|=3,|\mathbf{b}|=4\) and \(|\mathbf{a}+\mathbf{b}|=5\) Since, \(\begin{gathered} |\mathbf{a}+\mathbf{b}|=5 \\ |\mathbf{a}+\mathbf{b}|^2=25 \end{gathered}\)…
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