Let A,B,C,D,E represent vertices of a regular pentangon ABCDE. Given the position vector of these vertices be a,a+b,b,`lamda a` and `lamdab` respectively.
Q. AD divides EC in the ratio

Let A, B, C, D, E represent vertices of a regular pentagon ABCDE. Given the position vector of these vertices be veca, veca + vecb, vecb, lamda veca and lamda vecb , respectively. AD divides EC in the ratio

Let A,B,C,D,E represent vertices of a regular pentagon ABCDE . Given the position vector of these vertices be vec a, vec a+vec b,vec b,lambdavec a and lambdavec b respectively. If the area of the pentagon ABCDE is k|vec a timesvec b| then k is equal to

Let A, B, C, D, E represent vertices of a regular pentagon ABCDE. Given the position vector of these vertices be veca, veca + vecb, vecb, lamda veca and lamda vecb , respectively. The ratio (AD)/(BC) is equal to

A, B, C, D, E, F in that order, are the vertices of a regular hexagon with centre orgin. If the position vectors of the vertices A and B are respectively, 4hati+3hatj-hatk and -3hati+hatj+hatk , then DE is equal to

Unit vector perpendicular to the plane of DeltaABC with position vectors a,b,c of the vertices A,B,C is

Unit vector perpendicular to the plane of DeltaABC with position vectors a,b,c of the vertices A,B,C is