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

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

Question
Vectors and spaces
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. \(∥v∥=8,alpha=45*∥v∥=8,alpha=45\)

Answers (1)

2021-01-03
||v||=8 & \(a+45^(circ)=>a=8cos45^(circ)=8*sqrt(2/2)\)
\(=4sqrt(2)\) &
\(b= 8sin45^(circ)=8*sqrt(2)/2=4sqrt2=>\)
\(v=4sqrt(2i)+4sqrt(2j)\)
0

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