Home
Class 12
MATHS
If A, B and C are the vertices of a Delt...

If A, B and C are the vertices of a `Delta ABC`, then what is the value of `vec(AB) + vec(BC) + vec(CA)` ?

Text Solution

Verified by Experts

The correct Answer is:
`vec(0)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • VECTORS

    ARIHANT PRAKASHAN|Exercise CHAPTER TEST (4 MARK QUESTIONS)|10 Videos
  • VECTORS

    ARIHANT PRAKASHAN|Exercise CHAPTER TEST (6 MARK QUESTIONS)|9 Videos
  • VECTORS

    ARIHANT PRAKASHAN|Exercise TOPIC TEST 2|21 Videos
  • THREE DIMENSIONAL GEOMETRY

    ARIHANT PRAKASHAN|Exercise CHAPTER TEST|24 Videos
  • VERY SIMILAR TEST 1

    ARIHANT PRAKASHAN|Exercise Section C |10 Videos

Similar Questions

Explore conceptually related problems

If A,B,C,D and E are the vertices of a regular pentagon, then fine the vector sum vec(AB)+vec(BC)+vec(CD)+vec(DE)+vec(EA) .

If A, B, C, D, E are the.vertices of a regular pentagon, find the vector sum vec(AB)+ vec(BC)+ vec(CD)+vec (DE)+vec(EA) .

It the vectors vec(a), vec(b) and vec(c) form the sides vec(BC), vec(CA) and vec(AB) respectively of a triangle ABC, then write the value of vec(a) xx vec(c) + vec(b) xx vec(c) .

The given points A, B, C are the vertices of a triangle. Determine the vectors vec(AB),vec(BC) and vec(CA) and the lengths of these vectors in the following case. A(4,5,5), B(3,3,3), C(1,2,5)

The given points A, B, C are the vertices of a triangle. Determine the vectors vec(AB),vec(BC) and vec(CA) and the lengths of these vectors in the following case. A(8,6,1), B(2,0,1), C(-4,0,-5)

In triangle ABC, find vec(AB)+vec(BC)+vec(CA)

If A, B, P, Q and R are the five points in a plane, then show that the sum of the vectors vec(AP), vec(AQ), vec(AR), vec(PB), vec(QB) and vec(RB) is 3 vec(AB) .

If A, B, C and D are the vertices of a square, find vec(AB) + vec(BC)+ vec(CD) + vec(DA) .

If vec(a) .vec(b) = 0 , then write the value of vec(a) xx(vec(b) xx vec(c))

If vec(a)= vec(b) + vec( c) , then write the value of vec(a).(vec(b) xx vec(c ))