Question

If vector u has its initial point at (-17, 4) and its terminal point at (8, -11), u = i + j. If v = 14i – 4j, 2(u – v) = i + j.

Answer 1

Answer:

Step-by-step explanation:

i could not understand what you want?

u=(8+17,-11-4)=(25,-15)=25i-15j

2(u-v)=2u-2v=2(i+j)-2(14i-4j)=2i+2j-28i+8j=(2-28)i+(2+8)j=-26 i+10 j

Answer 2

The value of vector u=25i-15j and u-v=11i-11j.

What is vector?

A vector is a line segment having a magnitude and a direction.It is expressed by using i and j. Magnitude is equal to the square root of sum of squares of coefficients of i and j.

How to find vectors?

We have been given two points (-17,4) and (8,-11) and v=14i-4j and we have to find vector u and value of resultant vector of u-v.

x component of vector=8-(-17)=8+17

=25

y component of vector=-11-4

=-15

By using the above values we can write that ,

u=i+j

u=25i-15j

v=14i-4j   (given)

u-v=25i-15j-14i+4j

=11i-11j

u-v=11i-11j

Hence the vector u=25i-15j and u-v=11i-11j.

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Question is incomplete as it should include figure.