Question

Write the vector v in the form ai + bj, given its magnitude ∥v∥∥v∥ and the angle alpha it makes with the positive x-axis. ∥v∥=8,alpha=45*∥v∥=8,alpha=45

Vectors and spaces
ANSWERED
asked 2021-01-02

Write the vector v in the form ai + bj, given its magnitude ∥v∥∥v∥ and the angle \(\alpha\) it makes with the positive x-axis. \(∥v∥=8,\alpha=45*∥v∥=8,\alpha=45\)

Expert Answers (1)

2021-01-03

||v||=8 & \(a+45^{\circ}=>a=8\cos45^{\circ}=8*\sqrt{2/2}\)
\(=4\sqrt{2}\) &
\(b= 8\sin45^{\circ}=8*\sqrt{2}/2=4\sqrt{2}=>\)
\(v=4\sqrt{2i}+4\sqrt{2j}\)

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