# CBSE Class 12-science Maths Properties of Vectors

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- If a vectors = 2 i – 4 j + 5 k then find value of lamda so that lamda times a (vector) may be a unit vector i j and k are unit vector/axis
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- Find the distance between the point A(– 1, 2, 3) and B(1, – 1, – 3).
- Find the vector joining the points P(– 2, – 3, 4) and Q(3, 2, 5) directed from P to Q. Also find the distance between the points.
- If , then find the value of
- Find the position vector of mid-point of joining the points (6, – 2, 3) and (4, 2, –5).
- If P, Q and R have position vectors (0, 0, 2), (2, 0, 0) and (0, 1, 0). Show that is an isosceles.
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