ABCDEF is a regular hexagon with center at the origin such that . Then λ is equal to
2
4
6
8
If m1, m2, m3, and m4 are respectively the magnitudes of the vectors , then the correct order of m1, m2, m3, and m4 is
m3 < m1 < m4 < m2
m3 < m1 < m2 < m4
m3 < m4 < m1 < m2
m3 < m4 < m2 < m1
The component of a vector is
always less than its magnitude
always greater than its magnitude
always equal to its magnitude
None of these
Direction of zero vector
does not exist
is towards origin
is indeterminate
Two vectors and are equal if
their magnitudes are equal
they originate from the same point
their direction is same
their magnitude as well as direction is same
If = (2,1,-1), = (1,-1,0), =(5,-1,1) then unit vector parallel to but in opposite direction is
The summation of two unit vectors is a third unit vector, then the modulus of the difference of the unit vectors is
If are adjacent sides of a parallelogram, then the lengths of its diagonals are
The vectors are the sides of a . The length of the median through A is
5 units
10 units
If , then the unit vector in the direction of is