Answer:

Step-by-step explanation:
The question to be solved is the following :
Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, and that γ is unique if
. Recall that given two vectors a,b a⊥ b if and only if
where
is the dot product defined in
. Suposse that
. We want to find γ such that
. Given that the dot product can be distributed and that it is linear, the following equation is obtained

Recall that
are both real numbers, so by solving the value of γ, we get that

By construction, this γ is unique if
, since if there was a
such that
, then

Jupiter has a diameter of about 88,695 miles (142,800 kilometers) which is more than 11 times the diameter of Earth. It’s volume is over 1,300 times the volume of Earth. This mean that Jupiter is so big that over 1,300 Earth could fit inside of it.
Answer:
Question 1: RS=47
Question 2: x=6
Step-by-step explanation:
Question 1:
Step 1: 3x+5=2x+15+6x-37
Step 2: 3x+5=8x-22/2
Step 3: 3x+5=4x-11
Step 4: x=16
Step 5: 2(16)+15=32+15=47
<u>RS= 47</u>
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Question 2:
Step 1: 7x+2+25x-14=180
Step 2: 32x-12=180
Step 3: 32x=192 (divide 32 from each side)
<u>x=6</u>
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I’m not sure if I remember well but I think it’s the answer!
Answer: yeah jadhdkdkdkdje