First you need to graph the coordinate points to see the triangle.
Then you need to drop lines down on the graph to form right triangles and use Pythagorean Theorem.
The line of points -5,-1 and -2,3 measures 5 using Pythagorean theorem.
The line of points 6,-3 and -5,1 measures √125
The line of points 6,-3 and -2,3 measures 10 using Pythagorean theorem.
So...
5 + 10 = 15
15 + √125
Answer:
C. -11+7
Step-by-step explanation:
Hope this helps!
Answer:
Step-by-step explanation:
Answer:
10°
Step-by-step explanation:
360/36 = 10
Answer:
Step-by-step explanation:
Given:
u = 1, 0, -4
In unit vector notation,
u = i + 0j - 4k
Now, to get all unit vectors that are orthogonal to vector u, remember that two vectors are orthogonal if their dot product is zero.
If v = v₁ i + v₂ j + v₃ k is one of those vectors that are orthogonal to u, then
u. v = 0 [<em>substitute for the values of u and v</em>]
=> (i + 0j - 4k) . (v₁ i + v₂ j + v₃ k) = 0 [<em>simplify</em>]
=> v₁ + 0 - 4v₃ = 0
=> v₁ = 4v₃
Plug in the value of v₁ = 4v₃ into vector v as follows
v = 4v₃ i + v₂ j + v₃ k -------------(i)
Equation (i) is the generalized form of all vectors that will be orthogonal to vector u
Now,
Get the generalized unit vector by dividing the equation (i) by the magnitude of the generalized vector form. i.e

Where;
|v| = 
|v| = 
= 
This is the general form of all unit vectors that are orthogonal to vector u
where v₂ and v₃ are non-zero arbitrary real numbers.