Answer:
The unit vector u is (-5/√29) i - (2/√29) j
Step-by-step explanation:
* Lets revise the meaning of unit vector
- The unit vector is the vector ÷ the magnitude of the vector
- If the vector w = xi + yj
- Its magnitude IwI = √(x² + y²) ⇒ the length of the vector w
- The unit vector u in the direction of w is u = w/IwI
- The unit vector u = (xi + yj)/√(x² + y²)
- The unit vector u = [x/√(x² + y²)] i + [y/√(x² + y²)] j
* Now lets solve the problem
∵ v = -5i - 2j
∴ IvI = √[(-5)² +(-2)²] = √[25 + 4] = √29
- The unit vector u = v/IvI
∴ u = (-5i - 2j)/√29 ⇒ spilt the terms
∴ u = (-5/√29) i - (2/√29) j
* The unit vector u is (-5/√29) i - (2/√29) j
Answer:
The edge length will be equal to 4 inches.
Step-by-step explanation:
The volume of a cube = s * s * s (in which s represent side of the cube)
V = s * s * s
V = s³
64 = s³
64 = 4³
So edge length of the cube will be 4 inches.
9514 1404 393
Answer:
f(1) = -2
Step-by-step explanation:
Put 1 where x is and do the arithmetic.
f(1) = -4·1 +2
f(1) = -4 +2
f(1) = -2
Answer:
Simplify the equation
Step-by-step explanation:
4x + 1 + x + -4
= 4x + x + 1 - 4
= 5x + -3
= 5x - 3
Hope this helps
