If ` a^→` , `b^→ `are the vectors forming consecutive sides of a regular hexagon ABCDEF, then the vector representing side CD is

"norm" of the vector represents

a and b form the consecutive sides of a regular hexagon A B C D E Fdot Column I, Column II If vec C D=x vec a+y vec b , then, p. x=-2 If vec C E=x vec a+y vec b , then, q. x=-1 If vec A E=x vec a+y vec b , then, r. y=1 vec A D=-x vec b , then, s. y=2

Consider the regular hexagon ABCDEF with centre at O (origin). Five forces vec(AB), vec(AC), vec(AD), vec(AE), vec(AF) act at the vertex A of a regular hexagon ABCDEF. Then their resultant is

If vectors veca and vecb are two adjacent sides of parallelograsm then the vector representing the altitude of the parallelogram which is perpendicular to veca is (A) vecb+(vecbxxveca)/(|veca|^2) (B) (veca.vecb)/(|vecb|^2) (C) vecb-(vecb.veca)/(|veca|)^2veca (D) (vecaxx(vecbxxveca))/(|vecb|^2

The coordinates of two consecutive vertices A and B of a regular hexagon A B C D E F are (1,0) and (2,0), respectively. The equation of the diagonal C E is

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

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

If area of a triangular face BCD of a regular tetrahdedron ABCD is 4sqrt(3) sq. units, then the area of a triangle whose two sides are represented by vectors vec(AB) and vec(CD) is

If two vectors vecAandvecB form adjacent sides of parallelogram, then the |vecAxxvecB| will give- of parallelogram