AP EAMCET · PHYSICS · Mathematics in Physics
The sum of the magnitudes of two vectors acting at a point is 18 and the magnitude of their resultant is 12 . If the resultant is at \(90^{\circ}\) with the vector of smaller magnitude, then the magnitudes of the vectors are
- A 5,13
- B 2,16
- C 6,12
- D 8,10
Answer & Solution
Correct Answer
(A) 5,13
Step-by-step Solution
Detailed explanation
Let two vector be \(\vec{A}\) and \(\vec{B}\) \(\begin{aligned} & |\overrightarrow{\mathrm{A}}|+|\overrightarrow{\mathrm{B}}|=18 \\ & |\overrightarrow{\mathrm{R}}|=12 \end{aligned}\) Let \(|\overrightarrow{\mathrm{A}}|\) be \(\mathrm{x}\), then…
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