Part (a)
Lets say we had the two general vectors
u = (a,b)
v = (c,d)
The dot product is
u dot v = a*c + b*d
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Apply that rule to these specific vectors
u = (5, -2)
v = (0, 1)
So we get
u dot v = 5*0 + (-2)*1
u dot v = 0 - 2
u dot v = -2
Therefore,
(u dot v)*w = -2*(-1, -3)
(u dot v)*w = ( -2*(-1), -2(-3) )
(u dot v)*w = (2, 6)
Answer: (2, 6)
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Part (b)
u = (5, -2)
5u = 5*(5, -2)
5u = (5*5, 5*(-2))
5u = (25, -10)
5u dot v = (25, -10) dot (0,1)
5u dot v = 25*0 + (-10)*1
5u dot v = 0 - 10
5u dot v = -10
Answer: -10
Remember that the slope of a line never changes, so you can choose whatever 2 points you want and you will always get the same slope. Calculate the rise and run (You can draw it on the graph if it helps). The slope is 2/4, which , of course, you can simplify to ½.
50%, because to exceed is to be larger than, so if A is larger than B by 50%, then that means that B is 50% smaller than A.
The person walked a distance of 120 kilometers in a time 3 hours. (Correct choice: C)
<h3>What is the length of the path covered by a person?</h3>
Herein we have the case of a person walking during a total time of three hours, whose conditions are explained mathematically by the following formula:
x = x / 3 + x / 4 + (x / 3 + 10)
x = (2 / 3) · x + x / 4 + 10
x = (11 / 12) · x + 10
x / 12 = 10
x = 120
The person walked a distance of 120 kilometers in a time 3 hours. (Correct choice: C)
To learn more on linear equations: brainly.com/question/11897796
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According to the problem it seems like jan drank 1/2 of the milk