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:
10) Correct
11) Each row is equal to 12 when you multiply them together.
12) 24
Step-by-step explanation:
12) You multiply 4*3*2 to get the volume of 24, which is also the number of cubes needed to make the shape.
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Answer:
1,500 Kg
Step-by-step explanation:
Formual for froce is given by
force = mass * acceleration
Force exerted by 1 woman = 425 N
no. of women exerting force = 3
Force exerted by 3 woman = 425 * 3 N = 1275 N
Acceleration produced by 1275 N force = 0.85 m/s^2
Using formula force = mass * acceleration
1275 = mass * 0.85 m/s^2
=> mass = 1275/ 0.85 m/s^2 = 1,500 Kg
Thus, mass of car is 1,500 Kg.
5(n) - 2 = 3
3 · 9(m) =27
1. is 27
3^2(s)= 9 · 5(t) = 45 · 2(r) = 90
2. is 90
Answer:
A) Population standard deviation is known.
B) Option 3
H0: μ =520,
H1: μ ≠ 520
z > 1.96 or z < -1.96
Step-by-step explanation:
A) The normal distribution should be used for the sample mean because the population standard deviation is known. Usually, when the standard deviation is unknown we don't use normal distribution except there is an underlying normal approximation.
B) Null Hypothesis:H0: μ =520,
Alternative hypothesis H1: μ ≠ 520
At 5% level of significance, from standard tables, we will reject H0 if;
The test statistic; z > 1.96 or z < -1.96
