Question

write the vector $\langle -7,12\
angle$ in the form $ai + bj$.
$\langle -7,12\
angle=\square i+\square j$

Explanation:

Step1: Recall vector component form

A vector \(\langle x, y
angle\) in the form \(ai + bj\) has \(a = x\) and \(b = y\), where \(i\) is the unit vector in the x - direction and \(j\) is the unit vector in the y - direction.

Step2: Identify components

For the vector \(\langle - 7,12
angle\), the x - component (coefficient of \(i\)) is \(-7\) and the y - component (coefficient of \(j\)) is \(12\).

Answer:

\(\langle - 7,12
angle=\boldsymbol{-7}i+\boldsymbol{12}j\)