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Given the vectors u = 3i - 2j + k, v = i + 2j - 4k, w = -2i + 4j - 5k use vector methods to answer the following:
(a) Prove u, v and w can form the sides of a triangle;
(b) Find the vector projection of u on v;
(c) Find the angle between u and v (to nearest degree);
(d) Find a unit vector normal (perpendicular) to the plane of the triangle in (a).
A lobster catcher spends $12 500 per month to maintain a lobster boat. He plans to catch an average of 20 days per month during lobster season. For each day, he must allow approx
Evaluate the perimeter of the plot of land. a. 260 m b. 340 m c. 360 m d. 320 m To evaluate the perimeter, we must know the length of all sides. According to the dia
How do I increase and decrease tax and sales
find the composition of the simple harmonic motion of the same period in the perpendicular directions
How a student of mathematics of b.sc can make an assignment on topic of asymptotes?
Establish appropriate algebraic models for each of the following sets of data. You can use technology to assist. Plot them on grids and demonstrate how you have established each mo
Bikes are on sale for 30% off the original price. What percent of the original price will the customer pay if he gets the bike at the sale price? The original price of the bike
Let D = 1 denotes the event that an adult male has a particular disease. In the population, it is known that the probability of having this disease is 20 percent, i.e., Pr (D = 1)
Mathematics Is All Around Us : What is the first thing you do when you get up? Make yourself a nice cup of tea or coffee? If so, then you're using mathematics! Do you agree? Cons
Continuous Random Variable In the probability distribution the sum of all the probabilities was 1. Consider the variable X denoting "Volume poured into a 100cc cup from coff
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