Given :
A vector v = 10i - 24k.
To Find :
A vector of magnitude 3 in the direction of v = 10i - 24k.
Solution :
Unit vector in the direction of vector v is :
![\^{v}=\dfrac{v}{|v|}\\\\\^{v}=\dfrac{10i-24k}{\sqrt{10^2+24^2}}\\\\\^{v}=\dfrac{10i-24k}{26}](https://tex.z-dn.net/?f=%5C%5E%7Bv%7D%3D%5Cdfrac%7Bv%7D%7B%7Cv%7C%7D%5C%5C%5C%5C%5C%5E%7Bv%7D%3D%5Cdfrac%7B10i-24k%7D%7B%5Csqrt%7B10%5E2%2B24%5E2%7D%7D%5C%5C%5C%5C%5C%5E%7Bv%7D%3D%5Cdfrac%7B10i-24k%7D%7B26%7D)
Now , vector of magnitude 3 in direction v is :
![r=3 \^{v}\\\\r=3\times \dfrac{ (10i-24k)}{26}\\\\r=\dfrac{3}{13} (5i-12k)](https://tex.z-dn.net/?f=r%3D3%20%5C%5E%7Bv%7D%5C%5C%5C%5Cr%3D3%5Ctimes%20%5Cdfrac%7B%20%2810i-24k%29%7D%7B26%7D%5C%5C%5C%5Cr%3D%5Cdfrac%7B3%7D%7B13%7D%20%285i-12k%29)
Hence , this is the required solution .
Answer:
Would it be 70/100 as a fraction and 0.7 as a decimal and 70% as a percentage?
Step-by-step explanation:
If you have 100 squares and 70 of those squares are shaded, your answer would 70/100.
Answer:
C words
Step-by-step explanation:
Graph A)
Vertex : (-4,4)
Domain: All real numbers
Range: y <= 4
x-intercepts: (-2,0) (-6,0)
how many solutions: 2 solutions because x-intercepts already give you the solution.
Axis of Symmetry : x = -4
Graph B
Vertex: wait for better image
maximum or minimum: The graph has minimum point because it is the lowest point in the graph or rather say that the point gives the least value and that's why it is callled minimum.
describe the end behavior:
when x approaches negative infinity, f(x) will approach positive infinity.
when x approaches positive infinity, f(x) will appeoach positive infinity
why no solution:
when
Answer:
![2x {}^{2} - x - 15](https://tex.z-dn.net/?f=2x%20%7B%7D%5E%7B2%7D%20%20-%20x%20-%2015)
Step-by-step explanation:
![(x - 3)(2x + 5) = \\ x(2x + 5) - 3(2x + 5) = \\ 2 {x}^{2} + 5x - 6x - 15 = \\ 2 {x}^{2} - x - 15](https://tex.z-dn.net/?f=%28x%20-%203%29%282x%20%2B%205%29%20%3D%20%20%5C%5C%20x%282x%20%2B%205%29%20-%203%282x%20%2B%205%29%20%20%3D%20%5C%5C%202%20%7Bx%7D%5E%7B2%7D%20%20%2B%205x%20-%206x%20-%2015%20%3D%20%20%5C%5C%202%20%7Bx%7D%5E%7B2%7D%20%20-%20x%20-%2015)