Question

The algebraic sum of modulus of two vectors acting at a point is 20 N. The resultant
these vectors is perpendicular to the smaller vector and has a magnitude of 10 N.if the
smaller vector is of magnitude b, then the value of b is:
a) 7.5 N
b) 20 N
c) 5N
d) none of these​

Answer 1

Answer:

Magnitude of smaller vector is b = 7.5

Explanation:

As we know that

$A + B = 20$

let the smaller vector is B

so here we know that resultant of A and B is perpendicular to B

so we have

$10^2 + B^2 = A^2$

also we have

$100 + B^2 = (20 - B)^2$

$100 + B^2 = 400 - 40 B + B^2$

$300 = 40 B$

$B = 7.5$

$A = 12.5$

#Learn

Topic : Vector Addition

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