Answer:
a)The component form is

b)The magnitude is √65
c) <2,14>
Step-by-step explanation:
Recall that:

We substitute the position vectors to get:

We subtract the corresponding components to obtain:

This gives:

This simplifies to:

The magnitude of a vector in the component form:

is

This means:

This simplifies to:


c) We have the vectors u = <4, 8>, v = <-2, 6>.
We want to find:
u+v
This implies that:
u+v=<4,8>+<-2,6>
We add the corresponding components to get;
u+v=<4+-2,8+6>
This simplifies to:
u+v=<2,14>
Answer: 6
Step-by-step explanation:
Let the number be x
If I increase twice my number by 5, the result is the same as if I triple my number and subtract 1. This can be formed into an equation as:
(2 × x) + 5 = (3 × x) - 1
2x + 5 = 3x - 1
5 + 1 = 3x - 2x
x = 6
The number you are thinking of is 6
The answer is 4/17 or 0.235
Looking at the figure, we can see that both triangles are right triangles. Therefore, we can apply pythagorean theorems. A right triangle contains a hypotenuse, which is the longest side. In the figure, that would be sides with length 4 and 12. The equation for this is:
c = √(^2 + b^2) , where c is the hypotenuse and a and b are the other shorter sides
To determine z:
4 = √(z^2 + 3^2)
z = 2.65
To determine x:
12 = √(x^2 + 6^2)
x = 10.39