Q. 15 If the triple scalar product u路... [FREE SOLUTION]

Chapter 10: Q. 15 (page 824)

If the triple scalar product $u 路 (v 脳 w)$ is equal to zero, what geometric relationship do the vectors u, v and w have?

Short Answer

Expert verified

The triple scalar product $u 路 (v 脳 w)$ is equal to zero if and only if u, v and ware coplanar.

Step by step solution

Step 1. Given Information

If the triple scalar product $u 路 (v 脳 w)$ is equal to zero, what geometric relationship do the vectors u, v and w have?

Step 2.We have to find the relationship do the vectors u, v and w have if the triple scalar product u·(v×w) is equal to zero.

The triple scalar product is $u 路 (v 脳 w) = v 路 (w 脳 u) = w 路 (u 脳 v)$

The triple scalar product $u 路 (v 脳 w)$ is equal to zero if and only if u, v andware coplanar.

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91影视

If the triple scalar product $u 路 (v 脳 w)$ is equal to zero, what geometric relationship do the vectors u, v and w have?

Short Answer

Step by step solution

Step 1. Given Information

Step 2.We have to find the relationship do the vectors u, v and w have if the triple scalar product u·(v×w) is equal to zero.

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91影视

If the triple scalar product u路(v脳w) is equal to zero, what geometric relationship do the vectors u, v and w have?

Short Answer

Step by step solution

Step 1. Given Information

Step 2.We have to find the relationship do the vectors u, v and w have if the triple scalar product u·(v×w) is equal to zero.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Probability and Statistics

Calculus

Geometry

Decision Maths

Statistics

Study anywhere. Anytime. Across all devices.

If the triple scalar product $u 路 (v 脳 w)$ is equal to zero, what geometric relationship do the vectors u, v and w have?