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If the three co-terminous edges of a par...

If the three co-terminous edges of a paralleloP1ped are represented by `overline(a)-overline(b), overline(b)-overline(c), overline(c)-overline(a)`, then its volume is

A

`[bara barb barc]`

B

`2[bara barb barc]`

C

`[bara barb barc]^2`

D

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The correct Answer is:
D
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[[overline(a), overline(b)+overline(c), overline(c)+overline(b)+overline(a)]]=

overline(a)*((overline(a)+overline(b)+overline(c))times(overline(b)+overline(c)))=

[[overline(a), overline(b), overline(a)timesoverline(b)]]=

Value of ((overline(a)+overline(b)+overline(c))times(overline(b)-overline(a)))*overline(c) is

If overline(c)=3overline(a)-2overline(b) , then [[overline(a), overline(b), overline(c)]]=

|[overline(a)*overline(a), overline(a)*overline(b)], [overline(a)*overline(b), overline(b)*overline(b)]|=

If [[overline(a), overline(b), overline(c)]]=2 then the volume of the paralleloP1ped whose co-terminous edges are 2overline(a)+overline(b), 2overline(b)+overline(c) and 2overline(c)+overline(a)

If [[overline(a), overline(b), overline(c)]]=4 then the volume of the paralleloP1ped with overline(a)+overline(b), overline(b)+overline(c) and overline(c)+overline(a) as co-terminous edges is

If [[overline(a), overline(b), overline(c)]]=12 , then [[overline(a)+overline(b), overline(b)+overline(c), overline(c)+overline(a)]]=

TARGET PUBLICATION-VECTORS-Competitive Thinking
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