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:
There are 9,999 positive whole numbers with 4 or less digits or less and one whole number which is neither positive nor negative.
This gives us 9,999+9,999+1 or 19,999 , whole numbers composed of 4 digits or less.
Answer:
224,688
Step-by-step explanation:
The number of members is modeled by ...
m(t) = 45000·1.04^(t-1975) . . . . where t is the year number
Then for t=2016, the membership is expected to be ...
m(2016) ≈ 45000·1.04^41 ≈ 224,688
Membership in 2016 could be estimated to be about 225,000.
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The multiplier per year is 1+4% = 1.04. The exponent tells how many times that multiplier is repeated.
Answer:
1/8
Step-by-step explanation: