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:
592 hours
Step-by-step explanation:
Given
Required
Determine the time taken to cover the area
Since, the oil formed a circular pattern; the question will be answered using area of a circle
Let t represent the time take to cover 11000m²;
The relationship between these parameters is:
Substitute 3.14 for π
Divide both sides by 3.14
Take square root of both sides
Divide both sides by 0.10
<em>(</em><em>Approximated)</em>
<em>Hence, it'll take approximately 592 hours to cover the given area</em>
The answer should be t=-24
Answer:
2 hours and 15 minutes
Step-by-step explanation:
Answer:
658.91$
Step-by-step explanation:
Find the total cost
flight cost 397$
staying at the hotel for 6 night cost 6 x 28.43£
= 170.58£ = 233.69$
breakfast for 4 morning cost 4 x 5.15£= 20.6£
= 28.22$
Total cost is 397$+233.69$+28.22=658.91$
