Q2 of 177 Page 24

Mark the correct alternative in each of the following:

If are the vectors forming consecutive sides of a regular hexagon ABCDEF, then the vector representing side CD is



--------- (i)


As, AD = 2BC {Properties of a regular hexagon, also AD || BC (Parallel)}


Putting in equation (i),







Option(C)is the answer.

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52

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

 1

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


 3

Mark the correct alternative in each of the following:

Forces act along OA and OB. If their resultant passes through C on AB, then


 4

Mark the correct alternative in each of the following:

If are three non-zero vectors, no two of which are collinear and the vector is collinear with is collinear with , then