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.
For every one mile (across) the line will go up 60. This line (from (0,0) ) is therefore y = 60x
:D
Answer:
Step-by-step explanation:
Hello,
The number of weekly social media posts varies directly with the square root of the poster’s age and inversely with the cube root of the poster’s income.
If a 16-year-old person who earns $8,000 makes 64 posts in a week, what is the value of k?
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Answer:
x = 1/2y + 1
y = 2x - 2
Step-by-step explanation:
Let's solve for x.
4x−2y=4
Step 1: Add 2y to both sides.
4x−2y+2y=4+2y
4x=2y+4
Step 2: Divide both sides by 4.
4x
4
=
2y+4
4
x=
1
2
y+1
Answer:
x=
1
2
y+1
Let's solve for y.
4x−2y=4
Step 1: Add -4x to both sides.
4x−2y+−4x=4+−4x
−2y=−4x+4
Step 2: Divide both sides by -2.
−2y
−2
=
−4x+4
−2
y=2x−2
Answer:
y=2x−2
Hope this helps!
brainliest?
The volume a cylinder is v=(area of base)h and since the area of the base is πr², you can write the equation a v=πr²h. Since the problem wants us to find what be is in the equation of a cylinder as v=Bh, we know that B=πr². The problem gave us the diameter of the circle so we no the radius is going to be the diameter (24) divided by 2 which equals 12. therefore B=12²π.
I hope this helps.