Let be vectors such that b and c are perpendicular, but a and b are not. Let m be a real number. Solve the system
My Self Assessment
a)
Solve the simultaneous equations
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Solve the equation
Solve
Prove that
If a, b and c are three unit vectors such that find the angles which makes with and , being non-parallel.
If be three non–coplanar vectors, show that
Show that if and only if or if a and c are collinear.
If are any three vectors prove that
Show that
Prove the identity
If prove that
If four vectors are coplanar, show that
Show that is coplanar with a and b
If are vectors from the origin to the points A, B, C show that is perpendicular to the plane ABC
Given vectors . Find a unit vector in the plane of B and C and perpendicular to A.
Prove that and hence expand
Prove that for any vector
For any three dimensional vectors prove the identity
Consider the linearly independent vectors in space, having the same origin. Prove that the plane by the end points of the vectors is perpendicular to the vector
Volume of the parallelopiped with its edges represented by the vectors
