[" 13."0.4hat i+0.8hat j+chat k" represents a unit vector,"],[" when "c" is "-]

0.4 hat(i)+0.8 hat(j) + c hat(k) represents a unit vector when c is :

0.4 hat(i)+0.8 hat(j) + c hat(k) represents a unit vector when c is :

" 37.If "a(hat i+hat j+hat k)" is a unit vector,then the value of "a" is "

The vector - hat i+ hat j- hat k bisects the angle between the vector vec c and 3 hat i+4 hat j . Determine the unit vector along vec c .

The magnitude of the vector product of the vector hat i+ hat j+ hat k with a unit vector along the sum of vectors 2 hat i+4 hat j-\ 5 hat k and lambda hat i+2 hat j+3 hat k is equal to sqrt(2) . Find the value of lambda .

If vec A=7hat i+2hat j-3hat k and vec B=hat i+hat j+2chat k are perpendicular vectors,the value of c is

The sides of a parallelogram represent the vectors 2 hat i- 4 hat j+ 5 hat k and hat i- 2 hat j-3 hat k . Find the unit vectors parallel to its diagonals.

If vec(A) = 7hat(i) + 2hat(j) - 3hat(k) and vec(B) = hat(i) + hat(j) + 2chat(k) are perpendicular vectors, the value of c is

If bar a=hat i+hat j-4hat k and bar(b)=hat 4i-hat j-2hat k then find (i) a unit vector in the direction of the vector (2bar(a)-bar(b))

Find the values of lambda such that x ,y ,z!=(0,0,0) and ( hat i+ hat j+3 hat k)x+(3 hat i-3 hat j+ hat k)y+(-4 hat i+5 hat j)z=lambda(x hat i+y hat j+z hat k) , where hat i , hat j , hat k are unit vector along coordinate axes.