Use the vectors $\mathbf { u } = \langle 3,6 \rangle$ , $\mathbf { v } = \langle - 6,5 \rangle$ to find the indicated quantity.State whether the result is a vector or a scalar. $( \mathbf { u } \cdot \mathbf { v } ) \mathbf { v }$
A) $\langle - 72,60 \rangle$ ;vector
B) $\langle - 72,64 \rangle$ ;vector
C)-72;scalar
D)60;scalar
E) $\langle - 72,58 \rangle$ ;vector

Question

Use the vectors $\mathbf { u } = \langle 3,6 \rangle$ , $\mathbf { v } = \langle - 6,5 \rangle$ to find the indicated quantity.State whether the result is a vector or a scalar.​ $( \mathbf { u } \cdot \mathbf { v } ) \mathbf { v }$ ​
A) $\langle - 72,60 \rangle$ ;vector
B) $\langle - 72,64 \rangle$ ;vector
C)-72;scalar
D)60;scalar
E) $\langle - 72,58 \rangle$ ;vector

Quizplus · Accepted Answer

The given vectors are added component-wise to obtain the result vector. Therefore, option A is the correct answer as it represents the sum of the corresponding components of the given vectors.

Use the Vectors u=⟨3,6⟩\mathbf { u } = \langle 3,6 \rangleu=⟨3,6⟩

Use the Vectors $\mathbf { u } = \langle 3,6 \rangle$