Question

given the following vectors, calculate $-7mathbf{v}$.
$mathbf{u}=langle6,-8
angle,mathbf{v}=langle6,-5
angle$

Explanation:

Step1: Multiply each component of vector \(v\) by \(-7\)

Given \(v=\langle6,-5
angle\), to find \(-7v\), we use the scalar - vector multiplication rule. If \(v = \langle a,b
angle\) and \(k\) is a scalar, then \(kv=\langle ka,kb
angle\). Here \(k=-7\), \(a = 6\), and \(b=-5\).
For the \(x\) - component: \((-7)\times6=-42\)
For the \(y\) - component: \((-7)\times(-5)=35\)

Answer:

\(\langle - 42,35
angle\)