Answer:
Step-by-step explanation:
A=2i+3j+4k
B=i-2j+3k
Sum of the vectors:
A + B = 2i+3j+4k + i-2j+3k = 3i + j + 7k
Direction of the sum of the vectors:

Answer:
Width = 18 inches
Length = 59 inches
Step-by-step explanation:
The length of a rectangle is five more than triple the width. If the perimeter is 154 inches, what are the dimensions
Perimeter of a rectangle = 2L + 2W
The length of a rectangle is five more than triple the width.
L = Length = 5 + 3W
W = Width
If the perimeter is 154 inches, what are the dimensions
Hence,
154 = 2L + 2W
154 = 2(5 + 3W ) + 2W
154 = 10 + 6W + 2W
Collect like terms
154 - 10 = 8W
144 = 8W
W = 144/8
W = 18 inches
Length = 5 + 3W
Length = 5 + 3(18)
Length = 5 + 54
Length = 59 inches
Answer:
7/10
Step-by-step explanation:
I've attached an image on how you can use the diagram they gave you.
If you color in 7/10s and 7/12s you'll notice that 7/10s is greater.
This is because 1/10 of the whole is greater than 1/12 of the whole.
For 1/10, the whole is being divided into 10, so it equals 0.1.
On the other hand, in 1/12, the whole is being divided by 12, so a part equals 0.083
0.1 is greater than 0.083, so 7 of 0.1 is greater than 7 of 0.083