Write the vector v in the form ai + bj, given its magnitude v and the angle α it makes with the positive x-axis.
-$$\| \mathbf { v } \| = 14 , \quad \alpha = 0 ^ { \circ }$$
A) $v = 14 i$
B) $v = 14 i + 14 j$
C) $v = 14 j$
D) $v = - 14 j$

Question

Quizplus · Accepted Answer

When a vector makes an angle of $0^\circ$ with the positive x-axis, it lies entirely along the x-axis, meaning its $j$ (or $y$) component is 0 and its $i$ (or $x$) component equals the magnitude of the vector.

Write the Vector V in the Form Ai + Bj ∥v∥=14,α=0∘\| \mathbf { v } \| = 14 , \quad \alpha = 0 ^ { \circ }∥v∥=14,α=0∘

Write the Vector V in the Form Ai + Bj $\| \mathbf { v } \| = 14 , \quad \alpha = 0 ^ { \circ }$