Relative to an origin O, the position vector of A is -7i 7j and the position

Question:

Relative to an origin O, the position vector of A is -7i – 7j and the position vector of B is 9i + 5j.

The point C lies on AB such that AC(vector) = 3 CB(vector).

a. Find AB(vector).

b. Find the unit vector in the direction of AB(vector).

c. Find the position vector of C.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Cambridge IGCSE And O Level Additional Mathematics Coursebook

ISBN: 9781108411660

2nd Edition

Authors: Sue Pemberton

See More Books

Question Posted: Sep 02, 2021 12:39 AM

See More Questions

Relative to an origin O, the position vector of A is 3i 2j and the position vector of B is 15i + 7j. a. Find AB(vector). The point C lies on AB such that AC(vector) = 1/3 AB(vector). b. Find the...
Relative to an origin O, the position vector of A is -6i + 4j and the position vector of B is 18i + 6j. C lies on the y-axis and OC(vector) = OA(vector) + OB(vector). Find OC(vector).
Relative to an origin O, the position vector of A is 4i 2j and the position vector of B is i + 2j. The unit vector in the direction of AB(vector) is 0.3i + 0.4j. Find the value of .
Implement the method contains() for HashST.
When 21.45 g of potassium nitrate, KNO3, was dissolved in water in a calorimeter, the temperature fell from 25.00oC to 14.14oC. What is the H for the solution process? KNO3(s) K+(aq) + NO3(aq) The...
On July 1, 2014, Salt Mine Corporation purchased at par 8% bonds having a maturity value of $250,000. The bonds are dated July 1, 2014, and mature July 1, 2019, with interest payable on July 1 of...
The toroid in Figure P29.52 has 200 rectangular windings, and the toroid radii are $R_{\text {in }}=160 \mathrm{~mm}$ and $R_{\text {out }}=$ $240 \mathrm{~mm}$. The height of each winding is...
The following T-accounts record the operations of Roddick Co.: Required a. Calculate the amount of direct materials purchased during the period. b. Calculate the direct materials used in production...
a) Risk analysis is the study of the underlying uncertainty of a given course of action and refers to the uncertainty of forecasted cash flow streams, the variance of portfolio or stock returns, the...
IRS data show that 15% of personal tax returns reporting an adjusted gross income (AGI) of more than $2,000,000 will be subject to a computer audit. This year a CPA completed 16 returns with an AGI...
The vector OA(vector) has a magnitude of 25 units and is parallel to the vector -3i + 4j. The vector OB(vector) has a magnitude of 26 units and is parallel to the vector 12i + 5j. Find: a. OA(vector)...
OA(vector) = a, OB(vector) = b. M is the midpoint of AB and OY(vector) = OA(vector). OX(vector) = OM(vector) and BX(vector) = BY(vector). a. Find in terms of a and b, i. AB(vector) ii. OM(vector)....
Multiple Choice Questions 1. The indirect approach to an interview is relatively more likely to use: a. Open-ended questions. b. Close-ended questions. c. Forced-answer questions. d. Passive-ended...
Simplify: 3x210x+3 3x214x+15 3x22x x2 x - x - 2 1
Point D'(7, 1) is the image of D(7, 6) under a translation. Determine the translation. Use non-negative numbers. A translation by units
In 2022, Pluto, Inc. decided to switch from traditional LIFO to Dollar Value LIFO. Under traditional LIFO, ending inventory in 2021 (the company's first year) was $2,521,000 and COGS was $14,622,000....
Suppose that Stock 1 s monthly log return is 4 0 % and that Stock 2 s monthly log return is 6 0 % . Your portfolio includes 7 0 % of Stock 1 and 3 0 % of Stock 2 . Please compute the following: ( a )...
A $67,000 machine with a 7-year class life was purchased 2 years ago. The machine will now be sold for $50,000 and replaced with a new machine costing $88,000, with a 10-year class life. The new...
Repeat Question 9, but include that the lead time is normally distributed with a standard deviation of 0.5 weeks. Question 9 Suppose that an auto part in a manufacturer's inventory has the following...
CdF2 (s) Cd+ (aq) + 2 F- (aq) 1. A saturated solution of CdF2 is prepared. The equilibrium in the solution is represented above. In the solution [Cd+] eq = 0.0585 M and [F-] eq = 0.117 M. a....
For each firm listed in the following, identify whether it would use job costing or process costing. 1. Canned soup producer 2. Custom automobile restorer 3. Facial tissue manufacturer 4. Accounting...
The Supreme Court in 1895 ruled that the income tax was unconstitutional because the tax needed to be apportioned among the states in proportion to their populations. Why would the requirement of...
Why was pay-as-you-go withholding needed in 1943?
Michael Irvin, former Dallas Cowboy & current commentator for NFL Network, is suing Marriott Hotels and one employee for defamation. Irvin's lawsuit alleges he has been wrongfully accused of sexual...
How is consumerism during this period different from consumerism of the past?
Find a firm that has diversified into a different industry in the last 5 years. Discuss why they did so, how they did it, and what the outcome has been

Relative to an origin O, the position vector of A is -7i 7j and the position

Question:

Step by Step Answer:

a To find ABvector we subtract the position vector of A from the p...View the full answer

Cambridge IGCSE And O Level Additional Mathematics Coursebook

Students also viewed these Business questions