Home
Class 12
MATHS
Prove the following by vector method. In...

Prove the following by vector method. In a triangle AOB, `mangleAOB` = `90^@`. If P and Q are the points of trisection of AB, prove that
`OP^2+OQ^2` = `5/9 AB^2`

Answer

Step by step text solution for Prove the following by vector method. In a triangle AOB, mangleAOB = 90^@. If P and Q are the points of trisection of AB, prove that OP^2+OQ^2 = 5/9 AB^2 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

  • VECTORS

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

  • VECTORS

    ARIHANT PRAKASHAN|Exercise CHAPTER TEST (1 MARK QUESTIONS)|10 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

Prove the following by vector method. in any triangle ABC, a = bcosC+c cosB.

Prove the following by vector method. Altitudes of a triangle are concurrent.

Prove the following by vector method. Median to the base of an isosceles triangle is perpendicular to the base.

If A and B are matrices of the same order and AB=BA, Then prove that A^2+2AB+B^2=(A+B)^2

If A and B are matrices of the same order and AB=BA, Then prove that A^2-2AB+B^2=(A-B)^2

If A and B are matrices of the same order and AB=BA, Then prove that A^2-B^2=(A-B)(A+B)

If A and B are matrices of the same order and AB=BA , then prove that A^(2)+2AB+B^(2)=(A+B)^(2)

If A and B are matrices of the same order and AB=BA , then prove that A^(2)-B^(2)=(A-B)(A+B)

Prove by vector method that in a Delta ABC, c^(2) = a^(2) + b^(2) - 2ab cos C .

ABCD is a parallelogram. Using vector method prove that line joing A and the mid -point of BC intersects the diagonal BD in the ratio 1:2 .

Home
Profile