Short Answer TypeShow that the four points A, B, C and D with position vectors
respectively are coplanar.
Given position vectors of four points A, B, C and D are:
These points are coplanar, if the vectors, 
are coplanar. 
These vectors are coplanar if and only if, they can be expressed as a linear combination of other two.
So Let
Comparing the coefficients, we have, 
These values of x and y satisfy the equation 3x + 3y = -2.
Hence the vectors are coplanar.
The scalar product of the vector 
with a unit vector along the sum of vectors 
is equal to one. Find the value of 
and hence find the unit vector along 
Long Answer TypeShort Answer Type
are parallel.
write the vector equation for the line. 
Switch
and 
are two equal vectors, then write the value of x+y+z.
makes angle 
then find the value of 
.
are two vectors such that 
then prove that vector 
is perpendicular to vector 
