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Let vec a=2 hat i+ hat j+ hat k , hat b...

Let ` vec a=2 hat i+ hat j+ hat k , hat b= hat i+2 hat j- hat k` and a unit vector ` vec c` be coplanar. If ` vec c` is perpendicular to ` vec a` then ` vec c=` `+-1/(sqrt(2))(- hat j+ hat k)` (b) `1/(sqrt(3))(- hat i- hat j- hat k)` `1/(sqrt(5))( hato-2 hat j)` (d) `1/(sqrt(3))( hat i- hat j- hat k)`

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Let vec a=2hat i+hat j+hat k,hat b=hat i+2hat j-hat k and a unit vector vec c be coplanar.If vec c is perpendicular to vec a then vec c=+-(1)/(sqrt(2))(-hat j+hat k)( b) (1)/(sqrt(3))(-hat i-hat j-hat k)(1)/(sqrt(5))(hat o-2hat j)(d)(1)/(sqrt(3))(hat i-hat j-hat k)

If vec a*hat i=vec a*(hat i+hat j)=vec a*(hat i+hat j+hat k) then find the unit vector vec a

let vec a=hat i+hat j-hat k and vec b=hat i-hat j-hat k and vec c be a unit vector perpendicular to vec a and coplanarwith vec a and vec b then vec c is

vec a=2hat i-hat j+hat k,vec b=hat i+hat j-2hat k and vec c=hat i+3hat j-hat k,f in d lambda such that vec a is perpendicular to lambdavec b+vec c

If vec A = hat i + 3 hat j + 2 hat K and vec B = 3 hat i + hat j + 2 hat k , then find the vector product vec A xx vec B .

If vec a= hat i+ hat j+ hat k , vec b=2 hat i- hat j+3 hat k a n d vec c= hat i-2 hat j+ hat k find a unit vector parallel to 2 vec a- vec b+3 vec cdot

If vec a=hat i+hat j,vec b=hat j+hat k,vec c=hat k+hat i find the unit vector in the direction of vec a+vec b+vec c

vec a = (hat i + hat j + hat k), vec a * vec b = 1 and vec a xxvec b = hat j-hat k. Then vec b is

vec a=3hat i-hat j-4hat k,vec b=-2hat i+4hat j-3hat k and vec c=hat i+2hat j-hat k,f in d|3vec a-2vec b+4vec c|

If ABCD is a parallelogram, vec A B=2 hat i+4 hat j-5 hat k and vec A D= hat i+2 hat j+3 hat k , then the unit vector in the direction of B D is 1/(sqrt(69))( hat i+2 hat j-8 hat k) (b) 1/(69)( hat i+2 hat j-8 hat k) 1/(sqrt(69))(- hat i-2 hat j+8 hat k) (d) 1/(69)(- hat i-2 hat j+8 hat k)

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