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
Answer:
15.66
Step-by-step explanation:
GO GO POWER RANGERS
1. School R- 220
School T- 370
2. School R- 240
School T- 340
3. School R- 260
School T- 310
4. School R- 280
School T- 280
The answer is 4 years.
Answer:
y = -3/2x + 2
Step-by-step explanation:
The equation has the format y = mx + b where m is the slope and b is the y-intercept.
The question gives you the y-intercept, so b = 2.
As for the slope, you need the fact that perpendicular lines have slopes that are opposite ("negative") reciprocals of each other.
The slope of the line given in the question is 2/3. The opposite reciprocal of 2/3 is - 3/2.
The equation for the line is y = -3/2x + 2
Answer:
y = 3
Step-by-step explanation:
9 - y = 2y
+ y + y Add y to both sides
9 = 3y Divide both sides by 3
3 = y When y = 3, the value of 9 - y is twice the value of y.