Vectors questions | form four Basic Mathematics

Given vectors a = 3i + 2j , b = 8i+3j and c = 2i + 4j find:

1. The vector ,
2. A unit vector in the direction of .

Answer / Solution

UNSOLVED

I f a = 2i + 3j, b = 19i – 15j and c = 5i – 7j, find the value of x such that xa + yc = b.

Answer / Solution

UNSOLVED

Find the direction cosines of C = 9i + 12j, hence show that the sum of the squares of these direction cosines is one.

Answer / Solution

UNSOLVED

Given that a = (3, 4), b = (1, 4) and c = (5,2) determine:

1. d = a + 4b – 2c ;
2. Magnitude of vector d , leaving your answer in the form m√n ;
3. The direction cosines of d and hence show that the sum of the squares of these direction cosines is one.

Answer / Solution

UNSOLVED

Given the vectors x = 3i + 2j, y = 5i – 3j and z = 4i – 2j

1. Find the resultant vector r = x + y + z and its direction.
2. Plot the three vectors on the same axes and hence indicate the magnitude of each vector [do not perform any calculation].

Answer / Solution

UNSOLVED