Two vectors u and v are given. Find the angle (expressed in degrees) between u and v. $\mathbf { u } = \langle 4,0 , - 2 \rangle , \mathbf { v } = \langle 2,1,0 \rangle$
A) $1.3 ^ { \circ }$
B) $1.2 ^ { \circ }$
C) $63.9 ^ { \circ }$
D) $36.9 ^ { \circ }$
E) none of these

Question

Quizplus · Accepted Answer

The angle between two vectors can be found using the dot product formula: $\cos \theta = \frac{\mathbf{u} \cdot \mathbf{v}}{\|\mathbf{u}\| \|\mathbf{v}\|}$. Calculating the dot product and magnitudes, the angle is approximately $36.9^\circ$.

Two Vectors U and V Are Given u=⟨4,0,−2⟩,v=⟨2,1,0⟩\mathbf { u } = \langle 4,0 , - 2 \rangle , \mathbf { v } = \langle 2,1,0 \rangleu=⟨4,0,−2⟩,v=⟨2,1,0⟩

Two Vectors U and V Are Given $\mathbf { u } = \langle 4,0 , - 2 \rangle , \mathbf { v } = \langle 2,1,0 \rangle$