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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).
QR is the tangent to the circle whose centre is P. If QA || RP and AB is the diameter, prove that RB is a tangent to the circle.
Solve 8 cos 2 (1 - x ) + 13 cos(1 - x )- 5 = 0 . Solution Now, as specified prior to starting the instance this quadratic does not factor. Though, that doesn't mean all i
where does goes take place?
Example of division of fractions: Example: (4/5)/(2/9) = Solution: Step 1: Invert the divisor fraction (2/9) to (9/2). Step 2: Multip
A circular pool is filling along with water. Supposing the water level will be 4 ft deep and the diameter is 20 ft, what is the volume of the water required to fill the pool? (π =
Standard form of a complex number So, let's start out with some of the basic definitions & terminology for complex numbers. The standard form of a complex number is
Rank Correlation Coefficient Also identified as the spearman rank correlation coefficient, its reasons is to establish whether there is any form of association among two vari
Coal is carried from a rrrine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 36 tons of coal in each ca
Unit Normal Vector - Three Dimensional Space The unit normal vector is illustrated to be, N (t) = → T' (t) / (|| T → ' (t)||) The unit normal is orthogonal or normal or
Two circles touching internally at O. OXY, OAB straight lines, the latter passing through the centres. Prove that OX : OY = OA : OB. Given : Two circles touching internally a
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