Answered: Let l : (x, y, z) = (−1, 1, 5) + t(3,…

Let l : (x, y, z) = (−1, 1, 5) + t(3, 4, −3) where t ∈ R. Find the distance between the line l and the point P = (−2, 3, 5). Do it but without using the distance formula.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section: Chapter Questions

Problem 2CC

See similar textbooks

Related questions

Q: HOTSPOT ANSWER Which of the following shows a graph of a piecewise function? Press the hotspot for…

Q: Add 6x4 - 2x³ + 8x to the difference between 8x3 +8x²-1 and 2x4-9x² +6x-6. The resulting polynomial…

Q: (d) Use algebra to determine the effect of raising the student's wag from $w an hour to $2w an hour…

A: As calculated in the part(a):

Q: 20. Write equations that use rules about operating with fractions as well as properties of…

A: The given equation is .The aim is to write the equation that rules about operating with fraction.

Q: PROBLEM SOLVING A person who is six feet tall casts a 3-foot-long shadow. A nearby pine tree casts a…

A: The height of the person is AB= 6 feetThe length of the shadow of the person is BC=3 feetThe height…

Q: 27. Your grandma gave you $45 for your birthday and you earn $8.50 per hour at your job. You want to…

Q: Simplify the expression. Use positive exponents. Assume variables represent nonzero real number 6)…

A: (6) (7) (8) (9) (10)

Q: = function (mon) (x) and write the domain in interval notation. Write any number in the int -8

Q: Solve for the unknown variable. 1 (4 + x) - 6 6 = 11 4

Q: Greg makes $8.50 per hour plus about $20 in commission at his job. Kevin makes $8.15 per hour plus…

Q: 3. If it takes exactly one minute to drain a 10-gallon tank of water, the volume of water remaining…

Q: 7. If log (*) = (log x + logy), show that x² + y² = 11 xy SECTION 3: THINKING

A: Given,

Q: The inverse notation f1 used in a pure mathematics problem is not always used when finding inverses…

A: We have to find the inverse of the function.GIven function -

Q: 23. √63-√28 Radical Expressions

A: To solve the expression .

Q: If Mary drove 330 miles in 6 hours at an average speed of 55 miles per hour, how many miles per hour…

Q: Which table is a probability distribution table?

Q: To win at LOTTO in one state, one must correctly select 7 numbers from a collection of 47…

Q: The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. The cost of…

Q: Suppose a = a and 2 = e are two solutions to the quadratic equations x² + px = q. Use Viete's method…

A: For Quadratic equation The Viete's method Sum of roots Product of roots

Q: Starting with the graph of f(x) = 72, write the equation of the graph that results when: (a) f(x) is…

Q: 21)- r-4 A) 2 r the polynomial completely. 22) 125x3+3 B) 2r-4 2r4

Q: If 19,200 cm² of material is available to make a box with a square base and an open top, find the…

A: If 19200 cm2 of material is available to make a box with a square base and an open top, then to find…

Q: Use factoring to solve the quadratic equation. Check by substitution or by using a graphing utility…

Q: I 15. If log 3 = log.27 then show that a = b Have not done

Q: You volunteer to help drive children at a charity event to the zoo, but you can fit only 7 of the…

A: The objective of this question is to find out how many different groups of 7 children can be formed…

Q: Below is the graph of y=e*. Transform it to make the graph of y=-e* -2. Give the domain and range of…

A: The given function is .The aim is to transform it to make the graph of .

Q: What is the solution to the system? 10 A * 6 10 2 (0,4) O (-3, -2) O (-2, -3) O (0, -4) What is the…

A: we need to find the solutions to the system by observing the graph and by using the substitution…

Q: Let G and H be groups and consider the function f: G → G × H defined by f(g) = (g, eH ) where eH is…

Q: Determine by inspection whether the given set of vectors is linearly dependent of independent. Do…

Q: What is the domain of f (x) = x² + x x-6 ?

Q: g(x)= 3x - 30x+73 (a) Write the equation in the form g(x) = a (x-h)² + k. Then give the vertex of…

Q: A one-to-one function is given. Write an equation for the inverse function. V x-2 x+7 v¯`¹ (x)= 00

Q: A roofer earns $25 per hour for regular hours worked and $45 per hour for overtime hours worked. If…

Q: Which of the diagrams represents a relation that is a function? • Press the hotspot that corresponds…

A: Function:-For a relation to be a function, each input value of the relation can have only one…

Q: I can you use the Distributive Property to find the product? Use the array to help you decompose and…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: 29 At a large nursery, a border for a rectangular garden is being built. Designers want the border's…

A: At a large nursery, a border for a rectangular garden is being built. Designers want the border's…

Q: 1. To solve problems involving coins-pennies, nickels, dimes, and quarters-use the same unit of…

A: In this question, we will see how many coins patria has.

Q: The logistic growth function f(t) = 112,000 1+5700e describes the number of people, f(t), who have…

A: Given the logistics function, we will find the value of the given three parts.

Q: A²+ B² = C² A = 1 C = C B = 4 O √9 O √5 √17

A: We have to find the value of C in the given right triangle.Concept Used: Pythagoras theorem states…

Q: K Add the polynomials. (5x4y²-x²y² + 12xy) + (-6x4y²-6x²y-11xy) The sum is (Simplify your answer.)

Q: Find the scalar equation for the plane passing through the points P₁(2, -2, 3), P₂(0, 1, -2), and…

A: We need to find the scalar equation for the plane passing through the points P1(2,−2,3),P2(0,1,−2),…

Q: Use the figure shown to the right to answer the questions below. Express each polynomial in standard…

A: Dimension of large rectangleLength= x+7Width= x+5

Q: Find the number of different ways that an instructor can choose 5 students from a class of 24…

Q: 1 2) Find the polynomial function with leading coefficient -5; degree 3; and -2,- A) f(x) = -5(x +…

A: Note: As per our guidelines, we can solve the first question. Please repost the remaining questions.

Q: The piecewise function (x) is defined below. Determine the indicated values. • Press each hotspot. •…

A: Given: To Find: To determine the values of the following:

Q: Leah's mom is standing at the bottom of the slide at the playground, waiting for Leah to slide down.…

Q: 5. 4 √√32x² + x√√72x² Radical Expressions

Q: Solve and show result in scientific notation (e.g 1.5 × 106). Do not round the coefficient.…

Q: 8,36 10 C 9. √√64a³b³6c Radical Expressions

A: Explaination of the answer is as follows

Q: A piece of charcoal is found to contain 38% of the element B that it originally had. (a) When did…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Question

Let
l : (x, y, z) = (−1, 1, 5) + t(3, 4, −3) where t ∈ R.
Find the distance between the line l and the point P = (−2, 3, 5). Do it but without using the distance formula.

Expert Solution