Complex Numbers

Question

Find each expression for u=2i-5j and v=-3-2j, find

 

(a) 2u-3v 

 

(b) ll2u-3vll

 

the two "ll" on both sides of the formula for "b" are signs and not numbers or letters.

 

Please show step by step work to solution and provide final answer. Please and Thank You!

Answer 1

Finding the magnitude of the quantity of interest is more about determining the "radius"...

u = 2i - 5j

v = -3i - 2j

2u - 3v = 4i - 10j + 9i + 6j = 13i - 4j

||2u - 3v|| = sqrt(13² + 4²) = sqrt(169 + 16) = sqrt(185)