Consider the points P(0,0,48) and Q(-8,8,0).a. Find PQ and state your answer in two forms: (a,b,c) and ai + bj + ck.b. Find the magnitude of PQ.c. Find two unit vectors parallel to PQ.a. Find PQ.PQ = (1.1)) = (01)*+ Oj+ Okb. Find the magnitude of PQ.The magnitude of PQ is(Type an exact answer, using radicals as needed.)c. Find two unit vectors parallel to PQ.The unit vector in the direction of PQ is (D).(Type exact answers, using radicals as needed.)The unit vector in the opposite direction of PQ is (1.11.(Type exact answers, using radicals as needed.) Find an equation of the following curve, assuming the center is at the origin. Sketch a graph labeling the vertices, foci, asymptotes, and directrices. Use a graphing utility to check your work.A hyperbola with vertices (±5,0) and eccentricity 3The foci of the hyperbola are(Type an ordered pair. Type an exact answer. Use a comma to separate answers as needed.)The equations for the asymptotes of the hyperbola are y = ±(Type an exact answer.)Write the equations for the directrices of the hyperbola. Choose the correct answer below.O A. y = ±OB. X= ±OC. x = ±O D. y = ±O A.O B.533O C.Write an equation for the hyperbola. Choose the correct answer below.D.x²252X2005335352v²200-2y252y²X25 2002y²200 25X= 1= 1= 1= 1Choose the correct graph below.

Answered: Image /qna-images/answer/f9cba770-40aa-4b11-8043-b1a166d379ba.jpg

Consider the points P(0,0,48) and Q(-8,8,0). a. Find PQ and state your answer in two forms: (a,b,c) and ai + bj + ck. b. Find the magnitude of PQ. c. Find two unit vectors parallel to PQ. a. Find PQ. PQ = (1.1)) = (01)*+ Oj+ Ok b. Find the magnitude of PQ. The magnitude of PQ is (Type an exact answer, using radicals as needed.) c. Find two unit vectors parallel to PQ. The unit vector in the direction of PQ is (J). (Type exact answers, using radicals as needed.) The unit vector in the opposite direction of PQ is (1.11. (Type exact answers, using radicals as needed.)

Consider the points P(0,0,48) and Q(-8,8,0). a. Find PQ and state your answer in two forms: (a,b,c) and ai + bj + ck. b. Find the magnitude of PQ. c. Find two unit vectors parallel to PQ. a. Find PQ. PQ = (1.1)) = (01)*+ Oj+ Ok b. Find the magnitude of PQ. The magnitude of PQ is (Type an exact answer, using radicals as needed.) c. Find two unit vectors parallel to PQ. The unit vector in the direction of PQ is (J). (Type exact answers, using radicals as needed.) The unit vector in the opposite direction of PQ is (1.11. (Type exact answers, using radicals as needed.)

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

Consider the points P(0,0,48) and Q(-8,8,0).
a. Find PQ and state your answer in two forms: (a,b,c) and ai + bj + ck.
b. Find the magnitude of PQ.
c. Find two unit vectors parallel to PQ.
a. Find PQ.
PQ = (1.1)) = (01)*+ Oj+ Ok
b. Find the magnitude of PQ.
The magnitude of PQ is
(Type an exact answer, using radicals as needed.)
c. Find two unit vectors parallel to PQ.
The unit vector in the direction of PQ is (D).
(Type exact answers, using radicals as needed.)
The unit vector in the opposite direction of PQ is (1.11.
(Type exact answers, using radicals as needed.)

Find an equation of the following curve, assuming the center is at the origin. Sketch a graph labeling the vertices, foci, asymptotes, and directrices. Use a graphing utility to check your work.
A hyperbola with vertices (±5,0) and eccentricity 3
The foci of the hyperbola are
(Type an ordered pair. Type an exact answer. Use a comma to separate answers as needed.)
The equations for the asymptotes of the hyperbola are y = ±
(Type an exact answer.)
Write the equations for the directrices of the hyperbola. Choose the correct answer below.
O A. y = ±
OB. X= ±
OC. x = ±
O D. y = ±
O A.
O B.
5
33
O C.
Write an equation for the hyperbola. Choose the correct answer below.
D.
x²
25
2
X
200
53
35
35
2
v²
200
-
2
y
25
2
y²
X
25 200
2
y²
200 25
X
= 1
= 1
= 1
= 1
Choose the correct graph below.

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