In the diagram, O is the center of the square base ABCD of a right pyramid. Unit vectors i, j, k are parallel to AB, AD, OV respectively. Point O is the origin for all position vectors. Find position vector of A and C.

Question

kira_yamato · Answer

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anonymous · Answer

r u sure theyr asking u for the position of AC and not the unit vector of AC?

kira_yamato · Answer

What I mean is find OA vector and OC vector

shubhamsrg · Answer

Well you can not actually find OA with the given info, but you can find a unit vector parallel to OA. Same with OC

shubhamsrg · Answer

This shouldn't be much of a problem as A and C are in XY plane only. Even if we ignore point V in the question, we are good enough

kira_yamato · Answer

Ok thx

kira_yamato · Answer

But what if the lengths of the base are all 4 units, and OV = 2 units?

shubhamsrg · Answer

Then you can find OV and OA and OC . Length if given , is important.

kira_yamato · Answer

But how?

shubhamsrg · Answer

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Can't you find that vector?