Please answer this linear Algebra Homework problem see in attached image. Let ABCD be a trapezoid with parallel sides AB and DC. Suppose that the length of AB is20 centimeters and the length of DC is 35 centimeters. Let P be a point 2/5 up from A toD and similarly let Q be a point 2/5 up from B to C. Prove using a vector diagram andvector arithmetic that PQ is also parallel to AB and find its length.8.DCPВ

Two lines which never intersects each other are considered parallel lines. And the distance between…

Answered: Let ABCD be a trapezoid with parallel…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Please answer this linear Algebra Homework problem see in attached image.

Let ABCD be a trapezoid with parallel sides AB and DC. Suppose that the length of AB is
20 centimeters and the length of DC is 35 centimeters. Let P be a point 2/5 up from A to
D and similarly let Q be a point 2/5 up from B to C. Prove using a vector diagram and
vector arithmetic that PQ is also parallel to AB and find its length.
8.
D
C
P
В

Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.

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