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In the cube of side ‘l’ shown in the fig...

In the cube of side ‘l’ shown in the figure, the vector from the central point of face ABCD to the central point of the face ADGF will be:

A

`1/2 (hatj+ hatk)`

B

`1/2 (hatk - hat j)`

C

`1/2 (hati - hatj)`

D

`1/2 (hati - hat k)`

Text Solution

Verified by Experts

The correct Answer is:
B
`P = (1/2 , 1 , 1/2)`
` Q = (1/2 , 1/2 , 1)`
`bar(PQ) = (1/2 - 1/2) hati + (1/2 - 1) hatj + (1 - 1/2 ) hat k = (-1)/(2) hatj + 1/2 hatk = 1/2 (hatk - hatj)`
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