take the triple product
(2,0,1)•(-2,0,0)×(2,3,0)
| 2 0 1 |
|-2 0 0 | = -6
| 2 3 0 |
so the vectors are not coplanar.
The product represents the volume of the parallelopiped with the three vectors as edges. If they are coplanar, the volume is zero.
Do the vectors (2,0,1),(-2,0,0) and (2,3,0) lie on the same plane? Explain your reasoning.
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1 answer