Cross product of two vectors
Compute the cross product of two 3D vectors, and use it to find the area of a parallelogram. Unlimited questions, five difficulty levels, and a full worked solution every time — free.
Try one
Find u x v.
u = (−1, 3, 1), v = (−1, −3, −4)
- (9, 5, −6)
- (−5, −9, 6)
- (−9, −5, 6)
- (1, −9, −4)
Answer: (-9, -5, 6)
See one solved, step by step
Find u x v.
u = (5, −1, −3), v = (−5, 2, 1)
- (−25, −2, −3)
- (10, 5, 5)
- (5, 10, 5)
- (−5, −10, −5)
📘 Worked solution
1u x v = (−1·1 - −3·2, −3·-5 - 5·1, 5·2 - −1·-5)Apply the cross-product formula component by component — each entry skips the matching index.
2= (5, 10, 5)Simplify each component.
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