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
Answer:
Step-by-step explanation:
Answer
When you translate either left or right, the x coordinate is the one that you change. To go right when you are dealing with a point, you must add the amount you are asked to go right. So when you go right 3 units, add 3 to the 5.
(5 + 3,1) = (8,1)
when going across the y axis, you are still only changing the x coordinate.
All you need do is put a minus sign in front of the x coordinate. So your final answer is (-8,1)
Answer: Option B) 7,214
Step-by-step explanation:
The value of the digit 2 in 5,426 is 20.
-In 2,843, the place value of 2 is 2000
- In 7,214, the place value of 2 is 200
- In 43,928, the place value of 2 is 20
- In 67,452, the place value of 2 is 2
So, since he place value of 2 in 7,214 is 200; and since 200 is ten times more than 20 (i.e 20 x 10 = 200)
Thus, the answer is 7214
