Question

given the following vectors, calculate $-10mathbf{v}$. $mathbf{u}=langle-7,-5
angle,mathbf{v}=langle-1,7
angle$

Explanation:

Step1: Multiply each component of vector \(v\) by \(-10\)

For a vector \(\mathbf{v}=\langle a,b
angle\), \(k\mathbf{v}=\langle ka,kb
angle\). Here \(k = - 10\), \(a=-1\), \(b = 7\)
\(-10\mathbf{v}=\langle(-10)\times(-1),(-10)\times7
angle\)

Step2: Calculate the components

\((-10)\times(-1)=10\) and \((-10)\times7=-70\)

Answer:

\(\langle10,-70
angle\)