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The volume of a parallelopiped whose cot...

The volume of a parallelopiped whose coterminous edges are `2veca , 2vecb , 2 vec c ` , is

A

`2 [(a,b,c)]`

B

`4 [(a,b,c)]`

C

`8 [(a, b, c)]`

D

`[(a,b,c)]`

Text Solution

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The correct Answer is:
C

Volume of parallelopiped=`["2a 2b 2c"]=8["abc"]`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-VECTORS -( MHT CET Corner)
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  4. The position vectors of vertices of a Delta ABC are 4hat(i)-2hat(j), h...

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  5. Given p=3hat(i)+2hat(j)+4hat(k), a=hat(i)+hat(j), b=hat(j)+hat(k), c=h...

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  7. If 2veca+ 3vecb-5 vecc=vec0, then ratio in which vecc divides vec...

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  8. If the constant forces 2hati-5hatj+6hatk and -hati+2hatj-hatk act on a...

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  12. If the vectors a + lamda b + 3c, -2a + 3b - 4c and a - 3b + 5c are cop...

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  13. If the vectors a=hat(i)+a hat(j)+a^(2) hat(k), b=hat(i)+b hat(j)+b^(2)...

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  14. Let vec a=2 hat i- hat j+ hat k , vec b= hat i+2 hat j= hat ka n d ve...

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  15. (a.(b xx c))/(b.(c xx a))+(b.(a x b))/(a. (b xx c)) is equal to

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  18. If bar a,bar b and bar c are perpendicular ,bar c+bar a, bar b+bar c ...

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