a. We assume you want the dot product. That is the sum of the products of the corresponding components.
... V1•V2 = (-6)(-3) + (4)(6) = 18 + 24 = 42
b. V1•V2 = |V1|·|V2|·cos(α)
... α = arccos(V1•V2/(|V1|·|V2|)
... α = arccos(42/√(((-6)²+4²)((-3)²+6²)))
... α = arccos(42/√2340)
... α ≈ 29.74°
c. The scalar projection of V1 onto V2 is the dot product of V1 with the unit vector in the V2 direction.
... V1•V2/|V2| = 42/√45 = 42/(3√5) = (14/5)√5
d. The projection of V1 onto V2 is the result of part c multiplied by the unit vector in the direction of V2.
... projection of V1 onto V2 = (14/5)√5·(-3, 6)/(3√5) = (14/5)(-1, 2) = (-14/5, 28/5)
Answer:
Monthly payment = $268.32
Over the 10 years interest
= $32198.4
Step-by-step explanation:
According to the question
James will be paying his interest on a monthly basis.
So let's calculate how much the interest of a month it's going to be become with
P = 64397
R = 5
T =1/12
I = (64397*5*(1/12))/100
I = 321985*(1/12)/100
I = 26832.08333/100
I = 268.32
I = $268.32
So he will be paying$ 268.32 every month for 10 years
But in 10 years we have 10*12= 120 months
So total interest = 120*268.32
= $32198.4
Answer:
midpoint is (-1,4.5)
Step-by-step explanation:
Use the midpoint formula:
x coordinate of midpoint equals [(-4) + (2)]/2 = -1
y coordinate of midpoint equals [(4) + (5)]/2 = 4.5
Answer:
The answer is 175.5.
Step-by-step explanation:
This is because 25% of $260 is $65. Then you must subtract that from the original price. $260 - $65 = $195. Then, it says '10% off the sale price'. The sale price is $195. 10% of this is 19.5. Finally, you subtract this from the $195, with a final amount of $175.50
It can be written as
34/100