Vector ` vec c` is perpendicular to vectors ` vec a=(2,-3,1)a n d vec b=(1,-2,3)` and satisfies the condition ` vec cdot( hat i+2 hat j-7 hat k)=10.` Then vector ` vec c` is equal to a.`(7,5,1)` b. `-7,-5,-1` c. `1,1,-1` d. none of these

Vector vec c is perpendicular to vectors vec a=(2,-3,1)a n d vec b=(1,-2,3) and satisfies the condition vec c dot ( hat i+2 hat j-7 hat k)=10. Then vector vec c is equal to (7,5,1) b. -7,-5,-1 c. 1,1,-1 d. none of these

Vector vec c is perpendicular to vectors vec a=(2,-3,1)a n d vec b=(1,-2,3) and satisfies the condition vec x cdot( hat i+2 hat j-7 hat k)=10. Then vector vec c is equal to a. (7,5,1) b. -7,-5,-1 c. 1,1,-1 d. none of these

Vector vec c is perpendicular to vectors vec a=(2,-3,1)a n d vec b=(1,-2,3) and satisfies the condition vec c .( hat i+2 hat j-7 hat k)=10. Then vector vec c is equal to a. (7,5,1) b. -7,-5,-1 c. 1,1,-1 d. none of these

The vector vec a=(1)/(7)(2hat i+3hat j+6hat k),vec b=(1)/(7)(3hat i-6hat j+2hat k),vec c=(1)/(7)(6hat i+2hat j-3hat k) form

1fvec a=(hat i-3hat j-5hat k),vec b=(-3hat i+2hat j+7hat k),vec c=(2hat i-hat j+hat k) then find (vec a+vec b+vec c)

Find vec a .(vec b × vec c) if vec a = 2 hat i+1 hat j+3 hat k and vec b=-1 hat i+2 hat j + hat k and vec c = 3 hat i + hat j +2 hat k

Column I, Column II If | vec a|=| vec b|=| vec c| , angel between each pair of vecrtor is pi/3 and | vec a+ vec b+ vec c|=sqrt(6),t h e n2| vec a| is equal to, p. 3 If vec a is perpendicular to vec b+ vec c , vec b is perpendicular to vec c+ vec a , vec c is perpendicular to vec a+ vec b ,| vec a|=2,| vec b|=3a n d| vec c|=6,t h e n| vec a+ vec b+ vec c|-2 is equal to, q. 2 vec a=2 hat i+3 hat j- hat k , vec b=- hat i-4 hat k , vec c= hat i+ hat j+ hat ka n d vec d=3 hat k+2 hat j+ hat k ,t h e n1/7( hat axx hat b)dot( hat cxx hat d) is equal to, r. 4 If | vec a|=| vec b|=| vec c|=2a n d vec adot vec b= vec bdot vec c= vec cdot vec a=2,t h e n[ vec a vec b vec c]cos 45^0 is equal to, s. 5

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) and vec(B) are perpendicular Vectors and vector vec(A)= 5hat(i)+7hat(j)-3hat(k) and vec(B)= 2hat(i)+2hat(j)-ahat(k) . The value of a is

If vec(A) and vec(B) are perpendicular Vectors and vector vec(A)= 5hat(i)+7hat(j)-3hat(k) and vec(B)= 2hat(i)+2hat(j)-ahat(k) . The value of a is