Consider the equation of the line through X(1,-1,1) and Y(-3,3,2) This question is abeut determining whether a
Fantastic news! We've Found the answer you've been seeking!
Question:
Consider the equation of the line through X(1,-1,1) and Y(-3,3,2)
Transcribed Image Text:
This question is abeut determining whether a given peint lies on a line In the vector form of the equation, r = - OX +tXY: (a) Enter OX in the form (1,2,3). (b) Enter XY in the form (1,2,3). (c) Use the vector form of the equation to find the parametric form. Enter in the form (10+20*t,11-30*t, 12+50*t) (so it is just a vector, not an equati on with an = sign). Use t as the variable. It must be the form that comes from the vector equation above, not an equivalent one. Using the parametric form above, solve for t in terms of z, t in terms of y and t in terms of z. Enter these three expressions below. (Note: when these three expressions are set equal to each other they make up the cartesian form of the line). (d) Enter the expression that involves z. Don't enter t=, 固助 (e) Enter the expression that involves y. () Enter the expression that involves z. Let R be the point R(-11,11,6). Calculate the numerical value of the three expressions in the cartesian form of the equation when the values from R are substituted in: (g) The expression that involved z: Number (h) The expression that involved y: Number ) The expression that involved z: Number 0) Is R on the line XY? Yes No This question is abeut determining whether a given peint lies on a line In the vector form of the equation, r = - OX +tXY: (a) Enter OX in the form (1,2,3). (b) Enter XY in the form (1,2,3). (c) Use the vector form of the equation to find the parametric form. Enter in the form (10+20*t,11-30*t, 12+50*t) (so it is just a vector, not an equati on with an = sign). Use t as the variable. It must be the form that comes from the vector equation above, not an equivalent one. Using the parametric form above, solve for t in terms of z, t in terms of y and t in terms of z. Enter these three expressions below. (Note: when these three expressions are set equal to each other they make up the cartesian form of the line). (d) Enter the expression that involves z. Don't enter t=, 固助 (e) Enter the expression that involves y. () Enter the expression that involves z. Let R be the point R(-11,11,6). Calculate the numerical value of the three expressions in the cartesian form of the equation when the values from R are substituted in: (g) The expression that involved z: Number (h) The expression that involved y: Number ) The expression that involved z: Number 0) Is R on the line XY? Yes No
Expert Answer:
Answer rating: 100% (QA)
Solution The Equation of line passing through X4and Y332 The Ve... View the full answer
Posted Date:
Students also viewed these mathematics questions
-
To make 100 litres of solution, 1.5 kg salt is dissolved in water. Pure water is pumped into a tank containing this solution at a rate of 5 l min -1 ; salt solution overflows at the same rate. The...
-
Prove: The equation of the line through the distinct points (a1, b1) and (a2, b2) can be written as 2
-
Write the equation of the line through (- 2, 1) that (a) Goes through (7, 3); (b) Is parallel to 3x - 2y = 5; (c) Is perpendicular to 3x + 4y = 9; (d) Is perpendicular to y = 4; (e) Has y-intercept 3.
-
A palindrome is a string that is the same backward as it is forward. For example,tot and otto are rather short palindromes. Write a program that lets a user enter a string and that passes to a bool...
-
Why does a government determine the net expenses or revenues for each of the functions within its statement of activities?
-
What type of contract might require the use of annuity due computations?
-
Review a SORP and discuss the reasons why existing FRSs need to be supplemented.
-
Prepare in good form an income statement for Virginia Slim Wear. Take your calculations all the way to computing earnings per share. Sales $1,360,000 Shares outstanding 104,000 Cost of goods sold...
-
Calculate the contribution margin per unit and contribution margin ratio for TUV Company, given the following information: Item Amount ($) Sales Revenue 300,000 Variable Costs 150,000 Fixed Costs...
-
Suppose that you are a retailer, and you would like to design your own Supply Chain to launch a new products in a competitive environment. You will procure such a product from a wholesaler who will...
-
The following are transactions of the Morrison Company: a) November 5: sold merchandise on account for $46,000 with terms of 3/15, n/30. b) November 20: payment was received on $32,000 worth of...
-
You wish to accumulate $1 million 15 years from now. You will make 15 bank deposits in your bank with today marking the first payment. Your bank pays 4.5% interest compounded annually. You anticipate...
-
Mary Smith borrowed $20,000 from Last National Bank. She will repay the loan with 5 annual payments and her interest rate is 14%. What is her loan balance after she has made her 3rd annual payment?
-
Suzanne is the CMO of an athletic clothing company that specializes in team uniforms for high schools, colleges, and sports leagues. Most of the sales are direct to the purchaser, but many sales are...
-
The earnings per share of Erratic Corporation are projected to be as follows: End of YearEarnings 1$1.10 2$1.15 3$1.18 4$1.20 After year 4, earnings are expected to grow at a constant rate of 6%...
-
Promises, Incorporated has issued a 10-year, semiannual, level-coupon bond that has a coupon rate of 18%.The bond is priced to offer an effective annual rate (i.e., true yield) of 14% and sells for...
-
! Required information [The following information applies to the questions displayed below.] On January 1, 2024, Splash City issues $480,000 of 7% bonds, due in 10 years, with interest payable...
-
Sandcastles, Inc.s management has recently been looking at a proposal to purchase a new brick molding machine. With the new machine, the company would not have to buy bricks. The estimated useful...
-
Is an investment that can be quickly sold on a vast market without risk?
-
Can an investment yield more than a debt? What is then the consequence?
-
Why do treasurers avoid investing their cash in shares?
Study smarter with the SolutionInn App