Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
Transcribed Image Text:AB+ AD +CB+CD%D
6.
ABCD is a quadrilateral with AB equal and parallel to DC. Prove that AD is
equal and parallel to BC.
OABC is a square and the line segments OA, OB, OC are represented by the
vectors a, b, e respectively. If D is the midpoint of BC, show that the line segment
a or (b+ c). Verify that each of
21
OD is represented by either e +
a or b
2.
ation
![and y. What can you deduce about the directed line-segments BC and PQ7
4.
ABC is a triangle. If D is the midpoint of AC, show that BA + BC 2BD.
[BD is known as the median of the triangle ABC.]
ABCD is a quadrilateral and P and Q are the midpoints of AC and BD
respectively. Show that
AB+ AD+CB+ CD 4 PQ.
6.
ABCD is a quadrilateral with AB equal and parallel to DC. Prove that AD is
equal and parallel to BC.
OABC is a square and the line segments OA, OB, OC are represented by the
vectors a, b, c respectively. If D is the midpoint of BC, show that the line segment
OD is represented by either e+
a or b-
(b + c). Verify that each of
a or
these can be obtained from either of the others by using the relation
b=a+c.
ABCD is a square and P, Q are the midpoints of BC, CD respectively. If AP a
and AQ b, find in terms of a and b, the directed line segments (i) AB, (ii) AD,
iii) BD, (iv) AC.
In a quadrilateral OABC, D is the midpoint of BC and E is the point on AD such
mat AE:ED 2: 1. Given that OA=a, OB-b, OC e, express OD and OE in
ms of a, b, c.
ABC is a tetrahedron and OA a, OB-b and OC c. The points P and Q are
h that OA AP and 20B- BQ. The point M is the midpoint of PQ. Find
%3D
() AB, (i) PQ. (ii) CQ, (iv) QM, (v) MB, (vi) OM
Erms of a, b and c.
[For the definition of a tetrahedron, see Sec 1.10 Fir](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F99a800a6-a68a-4105-bbbd-0829ff43570a%2F66e8a556-499f-4454-8f2d-b0ef4c299cc0%2Fypx2mob_processed.jpeg&w=3840&q=75)
Transcribed Image Text:and y. What can you deduce about the directed line-segments BC and PQ7
4.
ABC is a triangle. If D is the midpoint of AC, show that BA + BC 2BD.
[BD is known as the median of the triangle ABC.]
ABCD is a quadrilateral and P and Q are the midpoints of AC and BD
respectively. Show that
AB+ AD+CB+ CD 4 PQ.
6.
ABCD is a quadrilateral with AB equal and parallel to DC. Prove that AD is
equal and parallel to BC.
OABC is a square and the line segments OA, OB, OC are represented by the
vectors a, b, c respectively. If D is the midpoint of BC, show that the line segment
OD is represented by either e+
a or b-
(b + c). Verify that each of
a or
these can be obtained from either of the others by using the relation
b=a+c.
ABCD is a square and P, Q are the midpoints of BC, CD respectively. If AP a
and AQ b, find in terms of a and b, the directed line segments (i) AB, (ii) AD,
iii) BD, (iv) AC.
In a quadrilateral OABC, D is the midpoint of BC and E is the point on AD such
mat AE:ED 2: 1. Given that OA=a, OB-b, OC e, express OD and OE in
ms of a, b, c.
ABC is a tetrahedron and OA a, OB-b and OC c. The points P and Q are
h that OA AP and 20B- BQ. The point M is the midpoint of PQ. Find
%3D
() AB, (i) PQ. (ii) CQ, (iv) QM, (v) MB, (vi) OM
Erms of a, b and c.
[For the definition of a tetrahedron, see Sec 1.10 Fir
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