Question

Determine if the vectors u, v, and w are coplanar using two different techniques.

A) Only one technique
B) Two different techniques
C) Three different techniques
D) Not enough information

Answer 1

Two techniques that can be used to determine if vectors u, v, and w are coplanar are: using the cross product and using the scalar triple product.

Step-by-step explanation:

Two techniques that can be used to determine if vectors u, v, and w are coplanar are:

1. Using the cross product: If the cross product of any two of the vectors is equal to the third vector multiplied by a scalar, then the vectors are coplanar.
2. Using the scalar triple product: If the scalar triple product of the vectors is zero, then the vectors are coplanar.

Therefore, option B is the correct answer as it requires using two different techniques.