3. Let A(-3,2, X), B(3, –3, 1) and C(5, X, 2) denote three vertices of parallelogram DABCD. (a) Find coordinates of the vertex D. (b) Calculate parameter A so that |AD| = V14. SO

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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Only A and B
on the line segment AB such that C divides AB
in the ratio 3:2 and let point D lie on the line
segment OA such that D divides OA in the
ratio 5: 2. Denote by P the intersection point
between line segments OC and BD. Find the
ratio in which P divides OC and BD.
3. Let A(-3, 2, 1), В(3, —3, 1) and C(5, A, 2)
denote three vertices of parallelogram DABCD.
(a) Find coordinates of the vertex D.
(b) Calculate parameter A so that
|AD| = /14.
(c) Use part (b) and for the bigger value of A
check is the set (AD BD. AC} linearly
independent. If the set {AB BD AC) is
linearly dependent, write the vector AC.
a linear combination of vectors AD and
BD.
as
Transcribed Image Text:on the line segment AB such that C divides AB in the ratio 3:2 and let point D lie on the line segment OA such that D divides OA in the ratio 5: 2. Denote by P the intersection point between line segments OC and BD. Find the ratio in which P divides OC and BD. 3. Let A(-3, 2, 1), В(3, —3, 1) and C(5, A, 2) denote three vertices of parallelogram DABCD. (a) Find coordinates of the vertex D. (b) Calculate parameter A so that |AD| = /14. (c) Use part (b) and for the bigger value of A check is the set (AD BD. AC} linearly independent. If the set {AB BD AC) is linearly dependent, write the vector AC. a linear combination of vectors AD and BD. as
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