" If "(2)/(16)" if "|hat a-hat b|=sqrt(2)" then calculate the value of "|hat a+sqrt(3)hat b|" ? "

If |hata-hatb|=sqrt(2) then calculate the value of |hat a+sqrt(3)hatb| .

If |hata-hatb|=sqrt(2) then calculate the value of |hat a+sqrt(3)hatb| .

If |hata-hatb|=sqrt(2) then calculate the value of |hat a+sqrt(3)hatb| .

If hat a ,\ hat b are unit vector such that \ hat a+ hat b is a unit vectors, write the value of | hat a- hat b|dot

If overset(to)(a) " and " overset(to)(b) are vectors in space given by overset(to)(a) = (hat(i) -2hat(j))/(sqrt(5)) " and " overset(to)(b) = (2hat(i) + hat(j) +3hat(k))/(sqrt(14)) then the value of (2overset(to)(a) + overset(to)(b)).[(overset(to)(a) xx overset(to)(b)) xx (overset(to)(a) -2overset(to)(b))] is .........

If bar(a)=(3hat i-hat j)/(sqrt(10)),bar(b)=(hat i+3hat j+hat k)/(sqrt(11)), then the value of (2bar(a)+bar(b))*[(bar(a)timesbar(b))times(bar(a)-3bar(b))]

If side vec A B of an equilateral trangle A B C lying in the x-y plane 3 hat i , then side vec C B can be a. -3/2( hat i-sqrt(3) hat j) b. -3/2( hat i-sqrt(3) hat j) c. -3/2( hat i+sqrt(3) hat j) d. 3/2( hat i+sqrt(3) hat j)

If side vec A B of an equilateral trangle A B C lying in the x-y plane 3 hat i , then side vec C B can be -3/2( hat i-sqrt(3) hat j) b. -3/2( hat i-sqrt(3) hat j) c. -3/2( hat i+sqrt(3) hat j) d. 3/2( hat i+sqrt(3) hat j)

Vector vec a in the plane of vec b=2 hat i+ hat ja n d vec c= hat i- hat j+ hat k is such that it is equally inclined to vec ba n d vec d where vec d= hat j+2 hat kdot The value of vec a is a. ( hat i+ hat j+ hat k)/(sqrt(2)) b. ( hat i- hat j+ hat k)/(sqrt(3)) c. (2 hat i+ hat j)/(sqrt(5)) d. (2 hat i+ hat j)/(sqrt(5))

Vector vec a in the plane of vec b=2 hat i+ hat ja n d vec c= hat i- hat j+ hat k is such that it is equally inclined to vec ba n d vec d where vec d= hat j+2 hat kdot The value of vec a is a. ( hat i+ hat j+ hat k)/(sqrt(2)) b. ( hat i- hat j+ hat k)/(sqrt(3)) c. (2 hat i+ hat j)/(sqrt(5)) d. (2 hat i+ hat j)/(sqrt(5))