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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).
Taylor Series - Sequences and Series In the preceding section we started looking at writing down a power series presentation of a function. The difficulty with the approach
Q. Explain Set Intersection? Ans. Set Intersection Suppose your school needs to know which students are taking both art and business this year. If A is the set of studen
cos30 is equal to what?
Find out the volume of the solid obtained by rotating the region bounded by y = x 2 - 2x and y = x about the line y = 4 . Solution: Firstly let's get the bounding region & t
Sums and Differences of Cubes (and other odd powers)? You can factor a sum or difference of cubes using the formulas a 3 - b 3 = (a - b )(a 2 + ab + b 2 ) and a 3 + b 3 =
The angle calculate of the base angles of an isosceles triangle are shown by x and the vertex angle is 3x + 10. Determine the measure of a base angle. a. 112° b. 42.5° c.
prove that the composition of two simple harmonic of the same period and in the same straight line is also a simple harmonic motion of the same period.
Give an example of Numerator and Denominator? Fractions represent parts of a whole object. Fractions are written using a horizontal line, with one number on top of the line and
Ratio Test In this part we are going to take a look at a test that we can make use to see if a series is absolutely convergent or not. Remind that if a series is absolutely c
mention the characteristic of mathematic
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