A vector has magnitude and makes an angle with the positive -axis

MATHEMATICS · Multi-part · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

A vector A\mathbf{A} has magnitude 10 units10\,\text{units} and makes an angle α\alpha with the positive xx-axis. When added to the vector B=6i^−8j^\mathbf{B}=6\hat{i}-8\hat{j}, the resultant is directed entirely along the positive xx-axis. (a) Calculate the angle α\alpha. (b) Find the magnitude of the resultant vector.

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