Let OAB be a regular triangle with side length unity (O being the origin), Also M,N are the trisection of AB, M being closer to A and N closer to B. Position vectors of A, B, M and N are `hata, hatb, hatm, hatn` respectively Which of the following hold(s) good?

Let DeltaOAB be an equilateral triangle with side length unity (O being the origin). Also, M and N being closer to A and N being clower to B. position vectors of A, B, M and N are veca, vecb, vecm and vecn respectively, then the value of vecm.vecn is equal to

Let DeltaOAB be an equilateral triangle with side length unity (O being the origin). Also, M and N being closer to A and N being clower to B. position vectors of A, B, M and N are veca, vecb, vecm and vecn respectively, then the value of vecm.vecn is equal to

A line x+3y=12 cuts the xa n dy axis in Aa n dB respectively. If Pa n dQ being the points of trisection of A B(P being closer to A) and m_1,m_2 are the slope of the lines O P and O Q respectively (' O ' is the origin), then m_2=2m_1 (b) m_2=3m_1 m_2=4m_1 (d) m_2=5m_1

A line x+3y=12 cuts the xa n dy axis in Aa n dB respectively. If Pa n dQ being the points of trisection of A B(P being closer to A) and m_1,m_2 are the slope of the lines O P and O Q respectively (' O ' is the origin), then m_2=2m_1 (b) m_2=3m_1 m_2=4m_1 (d) m_2=5m_1

Let a = b (mod n), a'= b' (mod n) and d, m in N. Then which of the following need not be true?

Let O be the origin . Let A and B be two points whose position vectors are veca and vecb .Then the position vector of a point P which divides AB internally in the ratio l:m is:

If M + N means M is brother of N, M/N means M is father of N and M x N means M is sister of N. Which of the following means A is uncle of B ?

Let A and B be two sets consisting of m and n elements respectively (n ge m) . The number of one-one functions from A to B is