SOLUTION: Find 2<span style="text-decoration: overline">U</span> - 3<span style="text-decoration: overline"><span style="text-decoration: overline">V</span></span> given the vectors <span st

Algebra.Com
Question 857575: Find 2U - 3V given the vectors U = <3,-1> and V = <4,-2>
Answer by AnlytcPhil(1806)   (Show Source): You can put this solution on YOUR website!
2U - 3V given the vectors U = <3,-1> and U = <4,-2>
Just substitute the vectors for the letters:

2U - 3V

Consider it as an addition:

2U + (-V)

2<3,-1> + (-3<4,-2>)

Multiply the two components for the scalars
just like the distibutive principle:

<6,-2> + <-12,6>

Then add the like components:

<-6,4>

Easy!

Edwin
RELATED QUESTIONS

Can someone help me simplify this? Perform the indicated operations. -6√ (answered by Edwin McCravy)
step by step solution to √3x+4 (answered by Edwin Parker)
if w=9-4i then: 

if w = 9 - 4i then: 
                                          (answered by ewatrrr,Edwin McCravy)

Need to solve this equation by hand.  Please help me.  Thanks!

√ (answered by Edwin McCravy)


       -√12(4 - 2√ (answered by Edwin McCravy)


solve the radical equation. if there is no real solution, chose no solution 
3x =  (answered by Edwin McCravy)

This problem involves a radical in the denominator. Please I would like to know how to... (answered by Edwin McCravy)

Let two points be A(2, 5) and B(-3, 6). Express the vector determined by line
segment... (answered by Edwin McCravy)


Two forces 429 N and 591 N act on an object. The... (answered by KMST)