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>
The answer to this problem is 16.
To solve we must follow the order of operations.
8/2 is 4.
2+2 is 4.
So, now we multiply 4(4) and will get 16 as the answer
So, 16 is the answer.
The formula for perimeter (total length all around sides) for a rectangle is
P(L,w) = 2(L+w)
Assuming the neighbour wants to fence all around each yard, the total fence length is the total of two perimeters, namely
Length of fence
= 2(65+45) + 2(35+45)
=2(110)+2(80)
=220+160
=380 feet.
Answer:
-7/8
Step-by-step explanation:
- 2 5/8 * 1/3
Change the mixed number to an improper fraction
2 5/8 = (8*2+5)/8 = 21/8
-21/8 *1/3 = -7/8