Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Explore our Q&A platform to find in-depth answers from a wide range of experts in different fields. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

Let $\mathbf { u } , \mathbf { v } , \text { and } \mathbf { w }$ be vectors. Which of the following make sense, and which do not? Give reasons for your answers. $
a.( \mathbf { u } \times \mathbf { v } ) \cdot \mathbf { w }\quad
b. \mathbf { u } \times ( \mathbf { v } \cdot \mathbf { w } )\ quad
c. \mathbf { u } \times ( \mathbf { v } \times \mathbf { w } )\quad
d. \mathbf { u } \cdot ( \mathbf { v } \cdot \mathbf { w } ).$

Sagot :

LammettHash

(u × v) • w makes sense, since u × v is another vector, and so (u × v) • w is a scalar.

u × (v • w) does not make sense, since v • w is a scalar, and the cross product is not defined between a vector and a scalar.

(u × v) × w makes sense, since u × v is a vector and so is w.

u • (v • w) does not make sense, since v • w is scalar, and the dot product is not defined between a vector and a scalar.

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.