Distributive, if you do 4 times x and 4 times 2 you get 4x+8
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)
1.64404265704 is the answer
Answer:
78 miles per hour
Step-by-step explanation:
Formula for speed is Distance divided by Time. (D/T)
The distance between Station A and Station C can be found be adding the distance from A to B and B to C. (20.8 Miles)
Same concept would go for the time.
Time to get from A to B added with B to C. (16 Minutes)
However, the time is in minutes and the question calls for hours. Divide 16 by 60, you get around 0.27.
20.8 divided by 0.27 would be around 77.9, or 78 miles per hour.
Hope this helps :)
Answer:
![941 in^{3}](https://tex.z-dn.net/?f=941%20in%5E%7B3%7D)
Step-by-step explanation: