the resultant of the two vectors A and B of magnitude 6 and 10 cm resp

1.	the resultant of the two vectors A and B of magnitude 6 and 10 cm respectively is at right angle to the vector A find the resultant and also angle between the given vectors
Answer» Answer: MAGNITUDE of resultant vector = 8 cm Angle = 53° Explanation: The resultant of the two vectors A and B of magnitude 6 cm and 10 cm respectively. The resultant vector is at right angle with vector A. Let resultant vector be C The three vector form a right angle triangle. where, vector B form Hypotenuse. A and C vector form sides of triangle, \|B\|=10 cm \|A\|=6 cm \|C\|=? USING Pythagoras theorem, $\|B\|^2=\|A\|^2+\|C\|^2$ $10^2=6^2+\|C\|^2$ $\|C\|=8\text{ cm}$ Let the angle between the vector A and B be Ф $\cos\theta =\dfrac{\|A\|}{\|B\|}$ $\theta=\cos^{-1}\frac{6}{10}$ $\theta=53^\circ$ Hence, The magnitude of resultant vector is 8 cm and the angle between A and B is 53°