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:
The graph is attached.
- The meaning of the x-intercept is: <em>The number of muffins she made by using all of teaspoons of chocolate chips</em>
- The meaning of the y-intercept: <em>The number of teaspoons of chocolate chips she had before she made any muffin.</em>
Step-by-step explanation:
Given the equation of the line:
We need to find the x-intercept and the y-intercept.
To find the x-intercept, we must substitute 
into the equation and solve for "x":
To find the x-intercept, we can substitute 
into the equation and evaluate:
Now we know that the line passes through these points:
Then we can graph the equation.
The graph is attached.
Then, analizing the graph, we can conclude that:
- The meaning of the x-intercept is: <em>The number of muffins she made by using all the teaspoons of chocolate chips.</em>
- The meaning of the y-intercept: <em>The number of teaspoons of chocolate chips she had before she made any muffin.</em>
Answer:
AEB =43
Step-by-step explanation:
The two angles form a straight line so they add to 180 degrees
AED + AEB = 180
137+AEB = 180
AEB = 180-137
AEB =43
If AB is parallel to CD, then A’B’ is parallel to C’D’.
Answer:
Step-by-step explanation:
k=3 or k=−7 both choices are correct
