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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).
Derivatives The rate of change in the value of a function is useful to study the behavior of a function. This change in y for a unit change in x is
Differentiate following. Solution : It requires the product rule & each derivative in the product rule will need a chain rule application as well. T ′ ( x ) =1/1+(2x) 2
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From the top of a 200 m lighthouse, the angle of depression to a ship in the ocean is 23 . How far is the ship form the base of the lighthouse?
Ray cut 6 pieces of rope . Each piece was between 67 and 84 inches long. What would be the total length of the 6 pieces of rope?
Example of Fractional Equations: Example: Solve the fractional equation (3x +8)/x +5 =0 Solution: Multiply both sides of the equation by the LCD (x). (x) ((3x
i dont understand it can you help
A Stone is dropped from the top of the tower and travel 24.5 m in last second of its journey. the height of the tower is ...?
How could 2+2 will be Equal to 5
Sketch the graphs of the following functions: (A) y = 1/(x 2 +1) (b) x= sin x,
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