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:
Step-by-step explanation:
In the question, we're given 
. Therefore, the measure of these two angles must be equal.
To find the value of 
, set these two angles equal to each other:
Add 26 and subtract from both sides:
Divide both sides by 3:
Since 
was labelled as 
, substitute 
to find its measure:
You can also substitute into the label of angle D as angle A is congruent to angle D for easier calculations (
).
Answer:
I got 76 for #1 your welcome
Answer:
angle B: 39
AC: 7.288
AB: 11.58
(note: you cut off the part about rounding so make sure that it's rounded correctly before you put in your answer)
Step-by-step explanation:
To solve this we will use SOH, CAH, TOA
we have the angle and the one opposite to it which means we can use either SOH or TOA
let's use TOA
tan(51)=(9/x)
x= 7.288
We can now use pahtagaryous theroem to solve for the hyptonouse
we have
9²+7.288²=C²
C=11.58
Finally, to find angle B we will recall that the angles of a triangle must add to 180.
51+90+a=180
a=39
