A vector A which has magnitude of 6 is added to a vector B which is along x-axis. The resultant of two vectors A and B lies along y-axis and has magnitude twice that of the magnitude of vector B. the magnitude of vector B is
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A vector A which has magnitude of 6 is added to a vector B which is along x-axis. The resultant of two vectors A and B lies along y-axis and has magnitude twice that of the magnitude of vector B. the magnitude of vector B is
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Answer:
A vector A which has magnitude of 6 is added to a vector B which is along x-axis. The reaultant of two vector A and B lies along y-axis and has magnitude twice that of the magnitude of vector B. the magnitude of vector B is
6/√5
Explanation:
let unit vector along x and y axis be i and j
according to question
6 + Bi = 2Bj
6 = 2Bj - Bi
6 = √2B^2 + B^2
= 6 = √5B^2
b = 6/√5