Home
Class 12
MATHS
Prove that the sum of the vectors direct...

Prove that the sum of the vectors directed from the vertices to the mid points of opposite sides of a triangle is zero

Answer

Step by step text solution for Prove that the sum of the vectors directed from the vertices to the mid points of opposite sides of a triangle is zero by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • VECTOR ALGEBRA

    ARIHANT PUBLICATION|Exercise Chapter Practice (Very Short Answer Type Questions)|21 Videos

  • VECTOR ALGEBRA

    ARIHANT PUBLICATION|Exercise Chapter Practice (Short Answer Type Questions)|8 Videos

  • VECTOR ALGEBRA

    ARIHANT PUBLICATION|Exercise Odisha Bureau.s Textbook Solutions (Exercise 12(d))|17 Videos

  • THREE-DIMENSIONAL GEOMETRY

    ARIHANT PUBLICATION|Exercise Chapter Practice|34 Videos

Similar Questions

Explore conceptually related problems

Prove by vector method that the line segment joining the mid points of two sides of a triangle is parallel to the third and half of it.

Prove that the sum of the vectors represented by the sides of a closed polygon taken in order is a zero vector.

Prove by vector method that the lines joining the mid points of consecutive sides of a quadrilateral is a parallelogram.

Prove that the sum of all the vectors drawn from the centre of a regular octagon to its vertices is the null vector.

Prove analytically : The line segment joining the midpoints of two sides of a triangle is parallel to the third and half of its length.

Prove by vector method that the mid-point of the hypotentise of a right angles triangle is equidistance from the vertices.

In a triangle one of the vertices is at (2,5) and the centroid of the triangle is at (-1,1). Find the coordinates of the midpoint of the side opposite to the given angular point.

Prove that magnitude of cross product of two vectors is equal to the area of the parallelogram with those two sides as vectors.

Find the area of the triangle whose vertices at the points (1,0) (6,0) and (4,3)

Prove that the lines joining the mid-points of consecutive sides of a quadrilateral form a parallelogram using vector method.

Home
Profile