physics [vectors]

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You are given vectors A = 5.5 6.2 and B = - 3.7 7.4 . A third vector C lies in the xy-plane. Vector C is perpendicular to vector A and the scalar product of C with B is 19.0.

I need x and y components for vector C

• physics [vectors] -

A = 5.5 i + 6.2 j
B = -3.7i + 7.4 j

C = x i + y j

A dot C = |A| |C| cos theta
if perpendicular theta is 90 degrees and cos theta = 0
so
5.5 x + 6.2 y = 0

B dot C = 19
so
-3.7 x + 7.4 y = 19.0

solve those two equations for x and y

• physics [vectors] -

5.5(_3.7x+7.4y=19)
3.7(5.5X+2.2y=0)
(20.35x+22.94y=0)
+ (_20.35x+40.70y=384.65)
Y=384.68/63.64
X=_(22.94(384.68/63.64)/20.35)

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