The components of vectors Q and R are (-3.0, 5.5) and (9.2, 4.4) respectively. Determine the components of Q + R.

Analyze the question: You're given the x and y components of two vectors, Q and R, and asked for the components of their sum.

Concept: Vectors are added component by component. If Q = (Qx, Qy) and R = (Rx, Ry), then:

Q + R = (Qx + Rx, Qy + Ry)

Solution:

• x-component: -3.0 + 9.2 = 6.2
• y-component: 5.5 + 4.4 = 9.9

So Q + R = (6.2, 9.9).

Checking the other options:

• A (3.7, 7.4) does not match either sum.
• C (2.5, -4.8) does not match either sum.
• D (14.7, 1.4) does not match either sum.

Answer: Option B, (6.2, 9.9)

Exam tip: For vector addition, keep the x's with the x's and the y's with the y's. Watch the negative sign on -3.0: it is -3.0 + 9.2, which is a subtraction (9.2 - 3.0), not an addition. For vector subtraction (Q - R), you would subtract each component instead.