Vectors questions | form four Basic Mathematics

Find Vectors examination questions, form four Basic Mathematics in acaproso.com

#	Question
1	Given vectors a = 3i + 2j , b = 8i+3j and c = 2i + 4j find: The vector $d=3a-b+frac{1}{2}c$ , A unit vector in the direction of $d$ . Mathematical Calculation
2	I f a = 2i + 3j, b = 19i – 15j and c = 5i – 7j, find the value of x such that xa + yc = b. Mathematical Calculation
3	Find the direction cosines of C = 9i + 12j, hence show that the sum of the squares of these direction cosines is one. Mathematical Calculation
4	Given that a = (3, 4), b = (1, 4) and c = (5,2) determine: d = a + 4b – 2c Í¾ Magnitude of vector d , leaving your answer in the form m√n Í¾ The direction cosines of d and hence show that the sum of the squares of these direction cosines is one. Mathematical Calculation
5	Given the vectors x = 3i + 2j, y = 5i – 3j and z = 4i – 2j Find the resultant vector r = x + y + z and its direction. Plot the three vectors on the same axes and hence indicate the magnitude of each vector [do not perform any calculation]. Mathematical Calculation
6	The position vectors of A, B and C are 4i-3j, i+3j and -5i+j respectively . Find the vectors $ar{AB}$ , $ar{BC}$ and $ar{AC}$ , hence verify that $ar{AB}+ar{BC}=ar{AC}$ . Mathematical Calculation
7	Given $ar{LM}=-3i+4j$ , $ar{MN}=-15i+pj$ find the value of p such that $left \| ar{MN} ight \|=3left \| ar{LM} ight \|$ . Mathematical Calculation
8	If $ar{A}$ and $ar{B}$ are two vectors such that $ar{A}=2i+5j$ and $ar{B}=-4i+j$ , find the position vector $ar{OM}$ where $M$ is the midpoint of $ar{AB}$ . Mathematical Calculation
9	If a = i + 2j, b = i+2j and c = 5i+14j. Find the values of scalars p and q such that pa + 2qb = c. Mathematical Calculation
10	If U = 3i -j, V = -2i + 3j and W = -2i, find the value of $left \| ar{U}+ar{V}-ar{W} ight \|$ Mathematical Calculation