Vector addition, subtraction, and scalar multiplication
Compute a combination of vector addition, subtraction, and scalar multiplication in component form. Unlimited questions, five difficulty levels, and a full worked solution every time — free.
Try one
Given u = (4, -3) and v = (-6, 6), compute u - v.
- (−2, 3)
- (10, −9)
- (11, −9)
- (−10, 9)
Answer: (10, -9)
See one solved, step by step
Given u = (9, -6) and v = (-5, -2), compute u + v.
- (−4, 8)
- (5, −8)
- (4, −8)
- (14, −4)
📘 Worked solution
1u + v = (4, −8)Work through each coordinate on its own: combine the matching components of u and v (scaled first, if there's a scalar).
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