AP EAMCET · PHYSICS · Mathematics in Physics
The angle made by the resultant vector of two vectors \(2 \bar{i}+3 \bar{j}+4 \bar{k}\) and \(2 \bar{i}-7 \bar{j}-4 \bar{k}\) with \(x\)-axis is
- A \(60^{\circ}\)
- B \(45^{\circ}\)
- C \(90^{\circ}\)
- D \(120^{\circ}\)
Answer & Solution
Correct Answer
(B) \(45^{\circ}\)
Step-by-step Solution
Detailed explanation
Resultant, \(\overrightarrow{\mathrm{R}}=(2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}+4 \hat{\mathrm{k}})+(2 \hat{\mathrm{i}}-7 \hat{\mathrm{j}}-4 \hat{\mathrm{k}})\) \(\therefore \quad\) Angle made by \(\overrightarrow{\mathrm{R}}\) with x axis is…
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