Vector A⃗ has components Ax= 1.80 cm , Ay= 2.25 cm ; vector B⃗ has components Bx= 4.10 cm , By= -3.50 cm .
Find the x-component of the vector sum A⃗ +B⃗ .
Find the y-component of the vector sum A⃗ +B⃗ .
Find the magnitude of A⃗ +B⃗ .
Components of Vector A are:
Ax = 1.80 cm & Ay = 2.25 cm
Components of Vector B are:
Bx = 4.10 cm & By = -3.50 cm
Now Sum of x-component of vectors will be
Rx = Ax + Bx
Rx = 1.80 cm + 4.10 cm
Rx = 5.90 cm
Now Sum of y-component of vectors will be
Ry = Ay + By
Ry = 2.25 cm - 3.50 cm
Ry = -1.25 cm
Sum of both vectors A and B will be
R = A + B
R = (Ax + Bx) i + (Ay + By) j
R = (5.90 i - 1.25 j) cm
Magnitude of R will be
|R| = sqrt (5.90^2 + (-1.25)^2)
|R| = 6.03 cm
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