Question

Q1. Prove that the points with vectors a+2b, 2a-b, and 3a-4b are collinear. Q2. E and F are points on the sides AD and BC of a quadrilateral ABCD such that AE=ED and BF=FC. If P, Q, and R are the midpoints of AB, EF, and DC respectively, show that P, Q, and R are collinear and that PQ=QR.

Name: q1 prove that the points with vectors a2b 2a b and 3a 4b are collinear q2 e and f are points of the sides ad bc of a quadrilateralabcd such that aeked and bf kfc if p q r are the midpoint of 15563
Uploaded: 2022-06-10T10:59:49-08:00
Duration: 4 min 53 s
Channel: Madhur L
Description: q1 prove that the points with vectors a2b 2a b and 3a 4b are collinear q2 e and f are points of the sides ad bc of a quadrilateralabcd such that aeked and bf kfc if p q r are the midpoint of 15563

          Q1. Prove that the points with vectors a+2b, 2a-b, and 3a-4b are collinear.
Q2. E and F are points on the sides AD and BC of a quadrilateral ABCD such that AE=ED and BF=FC. If P, Q, and R are the midpoints of AB, EF, and DC respectively, show that P, Q, and R are collinear and that PQ=QR.

Added by Miguel -Ngel S.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

06/10/2022

Step 1

To prove that these points are collinear, we need to show that the vectors between any two points are parallel. Let's consider the vectors between the first two points: (a+2b) - (2a-b) = -a + 3b Similarly, the vectors between the second and third points are: Show more…

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Q1. Prove that the points with vectors a+2b, 2a-b, and 3a-4b are collinear. Q2. E and F are points on the sides AD and BC of a quadrilateral ABCD such that AE=ED and BF=FC. If P, Q, and R are the midpoints of AB, EF, and DC respectively, show that P, Q, and R are collinear and that PQ=QR.