Given that P = (-5, 5) and Q = (-13, 10), find the component form and magnitude of 2 vector PQ.
2 answers:
Define the unit vectors along the x and y axes as 
correspondingly.
Consequently, the vector from P to Q is
In terms of components, vector PQ is represented as (-8,5).
The magnitude of vector PQ can be calculated as
√[(-8)² + 5²] = √(89) = 9.434
Answer:
Thus, vector PQ is (-8, 5), and its magnitude equals √89 (or 9.434).
Consequently, the vector from P to Q is
In terms of components, vector PQ is represented as (-8,5).
The magnitude of vector PQ can be calculated as
√[(-8)² + 5²] = √(89) = 9.434
Answer:
Thus, vector PQ is (-8, 5), and its magnitude equals √89 (or 9.434).
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Response:
Her brother catches up to her at 11 am + 4 hours = 15 p.m
Detailed explanation:
Provided information;
Ariel's speed = 45 mph
She departed at 9 a.m
Her brother's speed = 60 mph
He began at 11 a.m
Inferred from the question: Since Ariel's speed is 45 mph, after two hours she is ahead by 90 miles.
Meanwhile, her brother travels at 60 mph, hence he is traveling (60 - 45) = 15 mph faster
Therefore, with this speed, he will catch up to her in = 4 hours.
So her brother catches up with her at 11 am + 4 hours = 15 p.m
Events A and B are termed independent when
if not, events A and B are classified as dependent.
The events A, B and A∩B are:
- A - Jane plans to attend a ballgame on Monday;
- B - Kate intends to go to a ballgame on Monday;
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Answer: events A and B are dependent