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:
Mike can stitch one shirt in 6 hours and in 1 hour he can stitch 
(0.167) shirts.
Step-by-step explanation:
Mike can stitch 7 shirts in 42 hours
to calculate the time that he takes to make 1 shirt, we have to divide 42 by 7.
He can stitch 1 shirt in = 
= 6 hours
Now we calculate the work done in one hour.
He can stitch in 1 hour = shirts or 0.167 shirts
Mike can stitch one shirt in 6 hours and in 1 hour he can stitch shirts.
1 square inch = 2.54^2 = 6.4516 square cms
So 5.60 in^2 = 6.60 * 6.4516 = 36.13cm^2 to nearest hundredth
Answer:
i tnink it’s 144
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