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23. Algebra of Vectors
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Q51 of 177 Page 24

In a triangle OAC, if B is the mid-point of side AC and then what is ?

Given that the position vectors of point A and B are and . Let the position vector of point C be .

The position vector of B will be defined as



⇒


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Find a vector in the direction of vector which has magnitude 21 units.

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If and –3 ≤ λ ≤ 2, then write the range of

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Write the position vector of the point which divides the join of points with position vectors and in the ratio 2:1.

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Mark the correct alternative in each of the following:

If in a Δ ABC, A ≡ (0, 0), B ≡ (3, 3, √3), C ≡ (–3, √3, 3), then the vector of magnitude units directed along AO, where O is the circumcentre of Δ ABC is


Questions · 177
23. Algebra of Vectors
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