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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).
what is the difference between North America''s part of the total population and Africa''s part
There are m months in a year, w weeks within a month and d days in a week. How many days are there in a year? In this problem, multiply d and w to obtain the total days in one
A number of the form x + iy, where x and y are real and natural numbers and is called as a complex number. It is normally given by z. i.e. z = x + iy, x is called as the real part
R={(r, ?):1=r= 2cos? ,-p/3= ? =p/3
The operator of an amusement park game remain track of how many tries it took participants to win the game. The subsequent is the data from the ?rst ten people: 2, 6, 3, 4, 6, 2, 8
Find the full fourier Series of e^x on (-l,l)in its real and complex forms. (hint:it is convenient to find the complex form first)
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In figure, the incircle of triangle ABC touches the sides BC, CA, and AB at D, E, and F respectively. Show that AF+BD+CE=AE+BF+CD= 1/2 (perimeter of triangle ABC), Ans:
Peter purchased 14 latest baseball cards for his collection. This increased the size of his collection through 35%. How many baseball cards does Peter now have? First, you must
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