Vectors Maths Quiz

Which of the following are vector quantities?

A unit vector has a magnitude of [blank_start]1[blank_end].

The triangle rule is used to add vectors that join [blank_start]head to tail[blank_end]. The parallelogram rule is used to add vectors that join [blank_start]tail to tail[blank_end].

If \(\vec{a}= \begin{pmatrix}5\\8\\\end{pmatrix}\), calculate \(2\vec{a}\).

If \(\vec{a}= \begin{pmatrix}4\\3\\\end{pmatrix}\), and \(\vec{b}= \begin{pmatrix}1\\-2\\\end{pmatrix}\) calculate \(\vec c\) where \(\vec c =\vec{a}-2\vec{b}\)

If \(\vec{a}= \begin{pmatrix}4\\3\\\end{pmatrix}\), and \(\vec{b}= \begin{pmatrix}1\\-2\\\end{pmatrix}\) calculate the magnitude of \(\vec {AB}\) .

If \(\vec{a}= \begin{pmatrix}2\\3\\\end{pmatrix}\), and \(\vec{b}= \begin{pmatrix}5\\7\\\end{pmatrix}\) calculate the magnitude of \(\vec {AB}\) . \[|\vec{AB}|\]=[blank_start]5[blank_end]