If `θ` is the angle between two non-zero vectors `vec a and vec b` , then write down the value of `sin θ`.

If θ is the angle between two proper vectors vec a and vec b , then vec a*vec b lt 0 then

If θ is the angle between two vectors vec a and vec b , then vec a*vec b ge 0 only when

If vec a and vec b are non-zero vectors and the angle θ between them is given by cos θ= k/(|vec a||vec b|) then write the value of k.

Let vec(a) , vec(b) and vec(c) be three non-zero vectors such that no two of them are collinear and (vec(a)×vec(b))×vec(c)=1/3|vec(b)||vec(c)|vec(a) . If theta is the angle between vectors vec(b) and vec(c) , then the value of sintheta is:

Let vec a , vec b and vec c be three non-zero vectors such that no two of them are collinear and ( vec axx vec b)xx vec c=1/3| vec b|| vec c| vec a . If theta is the angle between vectors vec b and vec c then a value of sintheta is : (1) (2sqrt(2))/3 (2) (-sqrt(2))/3 (3) 2/3 (4) (-2sqrt(3))/3

Let vec a , vec b and vec c be unit vectors such that vec a+ vec b- vec c=0. If the area of triangle formed by vectors vec a and vec b is A , then what is the value of 4A^2?

For any two vectors vec a and vec b , which of the following is not true ?

Find the angle between the vectors vec a and vec b with magnitudes 1 and 1 respectively and when vec a.vec b =1.