Answer with Step-by-step explanation:
We are given that
u+ v and u-v are orthogonal
We have to prove that u and v must have the same length.
When two vector a and b are orthogonal then
By using the property
We know that
Magnitude is always positive
When power of base on both sides are equal then base will be equal
Therefore,
Hence, the length of vectors u and v must have the same length.
Answer:
12, 18, 24, 30
Step-by-step explanation:
List the numbers between 11 and 34 that can be evenly divided by 3:
12, 15, 18, 21, 24, 27, 30, 33
Then eliminate the odd numbers, obtaining:
12, 18, 24, 30
These are the four busses that Camille could ride to work.
Answer:
2x
Step-by-step explanation:
Given
= 
× 
= 2 × 
= 2x
Suppose the length of the card board was x cm by x cm
After squares of 4cm was cut from the corner, the dimension for the box will be:
length=(x-8) cm
width=(x-8) cm
height=4 cm
thus the volume will be:
V=length*width*height
V=4×(x-8)×(x-8)=144
x²-16x+64=36
this can be simplified to form a quadratic equation given by:
x²-16x+28=0
solving the quadratic equation we get:
x=2 or x=14
Thus we conclude that the original dimensions was:
length=14 cm ; width=14 cm
