A rectangular swimming pool has a width of 42 ft and a diagonal of 70 ft. Find the length of the pool.
1 answer:
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The angle between the vectors t and u is 45°. And the vector t and vector w are orthogonal to each other.
<h3>What is a vector?</h3>The quantity which has magnitude, direction and follows the law of vector addition is called a vector.
The vectors are given below.
t = −5i + 2j, u = −3i + 7j, and v = 8i + 20j
Part A: Then the angle between vectors t and u will be
Then we have
cos θ = [(−5i + 2j)(−3i + 7j)] / [√{(-5²) + 2²} + √{(-3)² + 7²}]
cos θ = 1 / √2
θ = 45°
Part B: c is a scalar
If , then
Let c = 2, then we have
Part C: Use the dot product to determine if t and w are parallel or orthogonal.
More about the vector link is given below.
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The cistern is losing approximately 3.963 gallons of water per hour.
<u><em>Explanation</em></u>
A cistern is leaking 0.25 liters of water per minute.
<u>We know, 1 gallon = 3.785 liters</u>
So, 0.25 liters = gallons
That means, the cistern is losing 0.06605....gallons of water per minute.
So, the amount of water losing in 1 hour or 60 minutes <em>(Approximately)</em>