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In the tetrahedron shown in the image, points P and Q are on segments BD and ...

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In the tetrahedron shown in the image, points P and Q are on segments BD and DC such that the ratios BP:PD = 2:3 and DQ:QC = 1:4. Express the vector using vectors , , and .

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Choose the correct option letter from the options listed below.

A)  

B) 

C) 

D) 

E)

F) none of the options mentioned above.

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