# 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
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. $$∥v∥=8,alpha=45*∥v∥=8,alpha=45$$

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

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