Question

One of the rectangular components of a vector of magnitude 100units is 50 units . find the other component

Answer 1

Answer:

65 units or -115 units

Explanation: First of all you have not given the angle between the vectors.

I have assumed it to be m=0

By formula of magnitude of vectors formula,

$R^{2}= A^{2}+ B^{2} + ABcosm$

Substituting we get,

$100^{2}$ = $50^{2}$ + $B^{2}$ + 50 B cos(0)

10000= 2500+ $B^{2}$+ 50 B

$B^{2}$ + 50B- 7500= 0

By solving the equation, we get

B= 65 or B= -115

Therefore the other component can be 65 units in the same direction or 115 units in the opposite direction