let a,b,c be noncoplanar unit vectors equally inclined to one another at an acute angle k.

then |[abc]| in terms of kis equal to

A)(1+cosk)root(cos2k)

B)(1+cosk)root(1-2cos2k)

C)(1-cosk)*root(1+2cos2k)

D)none of these

Question

let a,b,c be noncoplanar unit vectors equally inclined to one another at an acute angle k.

then |[abc]| in terms of kis equal to

A)(1+cosk)*root(cos2k)

B)(1+cosk)*root(1-2cos2k)

C)(1-cosk)*root(1+2cos2k)

D)none of these

Pramod J AskiitiansExpert-IIT-B · Answer

Dear student, for k = 90 it becomes a cube of volume 1 option B and C satisfy it for k = 0 volume is 0 Option C satisfies it this implies C is the correct option

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let a,b,c be noncoplanar unit vectors equally inclined to one another at an acute angle k. then |[abc]| in terms of kis equal to A)(1+cosk)root(cos2k) B)(1+cosk)root(1-2cos2k) C)(1-cosk)*root(1+2cos2k) D)none of these

let a,b,c be noncoplanar unit vectors equally inclined to one another at an acute angle k.

then |[abc]| in terms of kis equal to

A)(1+cosk)root(cos2k)

B)(1+cosk)root(1-2cos2k)

C)(1-cosk)*root(1+2cos2k)

D)none of these

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let a,b,c be noncoplanar unit vectors equally inclined to one another at an acute angle k. then |[abc]| in terms of kis equal to A)(1+cosk)*root(cos2k) B)(1+cosk)*root(1-2cos2k) C)(1-cosk)*root(1+2cos2k) D)none of these

let a,b,c be noncoplanar unit vectors equally inclined to one another at an acute angle k. then |[abc]| in terms of kis equal to A)(1+cosk)*root(cos2k) B)(1+cosk)*root(1-2cos2k) C)(1-cosk)*root(1+2cos2k) D)none of these

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let a,b,c be noncoplanar unit vectors equally inclined to one another at an acute angle k. then |[abc]| in terms of kis equal to A)(1+cosk)root(cos2k) B)(1+cosk)root(1-2cos2k) C)(1-cosk)*root(1+2cos2k) D)none of these

let a,b,c be noncoplanar unit vectors equally inclined to one another at an acute angle k.

then |[abc]| in terms of kis equal to

A)(1+cosk)root(cos2k)

B)(1+cosk)root(1-2cos2k)

C)(1-cosk)*root(1+2cos2k)

D)none of these