Home
Class 12
PHYSICS
ABC is an equilateral triangle. Length o...

ABC is an equilateral triangle. Length of each side is 'a' and centroid is point O. Find

If `|vec(AB)+vec(BC)+vec(AC)|=na` then n = ?

Text Solution

Verified by Experts

The correct Answer is:
2a
`vec(AB)+vec(BC)=vec(AC)implies|vec(AB)+vec(BC)+vec(AC)|=|2vec(AC)|=2|vec(AC)|=2a therefore n=2`
Promotional Banner

Similar Questions

Explore conceptually related problems

ABC is an equilateral triangle. Length of each side is 'a' and centroid is point O. Find vec(AB)+vec(BC)+vec(CA)

ABC is an equilateral triangle. Length of each side is 'a' and centroid is point O. Find If vec(AB)+vec(AC)=nvec(AO) then n = ?

ABC is an equilateral triangle of side 2m. If vec(E ) = 10 NC^(-1) then V_(A) - V_(B) is

ABC is an equilateral triangle with O as its centre vec(F_(1)),vec(F_(2)) " and " vec(F_(3)) represent three forces acting along the sides AB, BC and AC respectively. If the torque about O is zero then the magnitude of vec(F_(3)) is

Let ABC be a triangle having its centroid its centroid at G. If S is any point in the plane of the triangle, then vec(SA) + vec(SB)+vec(SC)=

Let ABC be a triangle having its centroid its centroid at G. If S is any point in the plane of the triangle, then vec(SA) + vec(SB)+vec(SC)=

Let ABC be a right triangle with length of side AB=3 and hyotenus AC=5. If D is a point on BC such that (BD)/(DC)=(AB)/(AC), then AD is equal to

Orthocenter of an equilateral triangle ABC is the origin O. If vec(OA)=veca, vec(OB)=vecb, vec(OC)=vecc , then vec(AB)+2vec(BC)+3vec(CA)=

If G is the centroid of Delta ABC and G' is the centroid of Delta A' B' C' " then " vec(A A)' + vec(B B)' + vec(C C)' =

Consider /_\ABC . Let I bet he incentre and a,b,c be the sides of the triangle opposite to angles A,B,C respectively. Let O be any point in the plane of /_\ABC within the triangle. AO,BO and CO meet the sides BC, CA and AB in D,E and F respectively. If 3vec(BD)=2vec(DC) and 4vec(CE)=vec(EA) then the ratio in which divides vec(AB) is (A) 3:4 (B) 3:2 (C) 4:1 (D) 6:1