Relative to the origin O, the position vectors of the points P and Q are given by
Question:
Relative to the origin O, the position vectors of the points P and Q are given by
where k is a constant.
Transcribed Image Text:
OP 5k -3 00 7k+9 9)' k k+2 -1
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (6 reviews)
ANSWER To find some properties of the points P and Q we can perform some vector operations using their position vectors Find the coordinates of P and Q The coordinates of a point are given by its position vector Therefore the coordinates of point P are 5k 3 7k9 and the coordinates of point Q are k k2 1 Find the distance between P and Q The distance between two points can be found using the ...View the full answer
Answered By
Aketch Cindy Sunday
I am a certified tutor with over two years of experience tutoring . I have a passion for helping students learn and grow, and I firmly believe that every student has the potential to be successful. I have a wide range of experience working with students of all ages and abilities, and I am confident that I can help students succeed in school.
I have experience working with students who have a wide range of abilities. I have also worked with gifted and talented students, and I am familiar with a variety of enrichment and acceleration strategies.
I am a patient and supportive tutor who is dedicated to helping my students reach their full potential. Thank you for your time and consideration.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook
ISBN: 9781108407199
1st Edition
Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey
Question Posted:
Students also viewed these Mathematics questions
-
The position vectors of the points A and B relative to an origin O are -2i + 17j and 6i + 2j respectively. i. Find the vector AB(vectors). ii. Find the unit vector in the direction of AB(vectors)....
-
The points P and Q are on the lines r = k + (2i + 3j + k)s and r = i + j + 4k + 4jt, respectively. Given that PQ (vector) is perpendicular to both lines, find the position vectors OP (vector) and OQ...
-
If the position vectors of the points A, B. C, D are a = i+j+k, b= 2i + 3j, c = 3i+ 5j 2k, d = k - j. show the line segments AB and CD are parallel and find the ratio of their lengths. Given the two...
-
The following information provides details of costs, volume and cost drivers for a particular period in respect of ABC plc, a hypothetical company: ( Details Direct Material $25 Cost Direct Labor 4/3...
-
What challenges do start-up businesses face? Explain.
-
Assignment problems previously solved by linear programming techniques are also examples of a. pure-integer programming problems. b. mixed-integer programming problems. c. zero-one integer...
-
(p. 80). Children who were ill with an upper respiratory tract infection and their parents participated in the study. Parents were instructed to give their sick child a dosage of liquid medicine...
-
Compare the reporting of intangible assets under GASB and FASB standards.
-
Exercise 17-04 your answer is partially correct. Try again. Gutierrez Company reported net income of $193,300 for 2020. Gutierrez also reported depreciation expense 7 AO shows a decrease in accounts...
-
Given that the vectors 6i 2j + 5k and ai + 4j 2k are perpendicular, find the value of the constant a.
-
Given that the lines with vector equations r = 2i + 9j + k + (i 4j + 5k) and r = 11i + 9j + pk + (i 2j + 16k) intersect at the point P, find the value of p and the position vector of the point P.
-
Show that the polar equation for is Ellipse. X x2 a2 y2 6
-
Draw a bar graph for each data set in Problems 32-35. Data set \(\mathrm{D}\) Data set A: The annual wages of employees at a small accounting firm are given in thousands of dollars. 35 25 25 16 14 1...
-
Draw a line graph for each data set in Problems 36-39. Data set A Data set A: The annual wages of employees at a small accounting firm are given in thousands of dollars. 25 16 25 25 14 18 1 2 2 2...
-
For each of the angles shown: (i) Estimate its size (ii) Measure it and check how good your estimate was. Aim for your estimate to be within 10 of the actual angle. a. b. c. d. e. f.
-
For the quasispin model of Problem 31.1 , find the eigenvalues of $s_{0}^{(m)}$ for the levels labeled by $m$. Show that the system has a total quasispin $S$ that is the vector sum of quasispins for...
-
A sole proprietorship was started on January 1, 2005, when it received \($60,000\) cash from Mark Pruitt, the owner. During 2005, the company earned \($40,000\) in cash revenues and paid \($19,300\)...
-
(a) By inspection nd a particular solution of y' + 2y = 10. (b) By inspection nd a particular solution of y'' + 2y = 4x. (c) Find a particular solution of y'' + 2y = 4x + 10. (d) Find a particular...
-
Grace is training to be an airplane pilot and must complete five days of flying training in October with at least one day of rest between trainings. How many ways can Grace schedule her flying...
-
a. Differentiate (x + 3) 8 with respect to x. b. Hence, find (x + 3) dx.
-
A curve has equation y = f(x) and it is given that The point A is the only point on the curve at which the gradient is 1. i. Find the x-coordinate of A. ii. Given that the curve also passes through...
-
A curve is such that where k is a constant. The point P(3, 2) lies on the curve and the normal to the curve at P is x + 4y = 11. Find the equation of the curve. dy dx 4 2x + k
-
! Required information [ The following information applies to the questions displayed below. ] Year 1 total cash dividends Year 2 total cash dividends Year 3 total cash dividends Year 4 total cash...
-
Built-Tight is preparing its master budget for the quarter ended September 30, 2015. Budgeted sales and cash payments for product costs for the quarter follow: July August September Budgeted sales $...
-
inepired. 2. Suppliei on hard at the eind of the month tedaled $16800. 2 The balance in Prepaid Rent represucks 4 months of rent coves. 5. Desreciationet bullines is $5060 per vear
Study smarter with the SolutionInn App