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write the vector ( u = langle 8,-9 angle ) in ( mathbf{i}, mathbf{j} ) …

Question

write the vector ( u = langle 8,-9
angle ) in ( mathbf{i}, mathbf{j} ) form.

written in ( mathbf{i}, mathbf{j} ) form, the vector ( u = langle 8,-9
angle=square ).

Explanation:

Step1: Recall the conversion formula

For a vector \(\vec{u}=\langle a,b
angle\), its \(i,j\) form is \(a\vec{i}+b\vec{j}\).

Step2: Substitute the values of \(a\) and \(b\)

Here \(a = 8\) and \(b=-9\). So \(\vec{u}=8\vec{i}+(- 9)\vec{j}\).

Answer:

\(8\vec{i}-9\vec{j}\)