Determine whether the lines L1 and L2 given by the vector equations are parallel, perpendicular, or neither. L1: r(t) = (-1 + 4t)i + (5 + t)j L2: r(s) = (3 + 2s)i + (2 - 8s)j If the lines are not parallel, find their point of intersection. (If the lines are parallel, enter PARALLEL.)

Determine whether the lines L1 and L2 given by the vector equations are parallel, perpendicular, or neither. L1: r(t) = (-1 + 4t)i + (5 + t)j L2: r(s) = (3 + 2s)i + (2 - 8s)j If the lines are not parallel, find their point of intersection. (If the lines are parallel, enter PARALLEL.)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 29E

See similar textbooks

Related questions

Q: 11. A cylindrical pop can holds 650 cm³ of pop. How should it be constructed so that minimum amount…

Q: Find the limit. (If the limit is infinite, enter '∞' or '-∞', as appropriate. If the limit does…

A: Given Limit As we know that

Q: 12. Barbara is visiting another county and wants to know the sales tax rate. She just bought a pair…

A: We have to find the sales tax rate and the function.For this first we will find the tax rate on the…

Q: A hemispherical bowl of radius 9 inches is filled to a depth of h inches, where 0sh≤9. Find the…

Q: Find aw/as and aw/ât using the appropriate Chain Rule. Function Values w = y³ - 3x²y x = es, y = et…

Q: X (2x + lny)dx + = dy = 0 Y y(1) = 1

Q: 1.) Given the equation y² - 10y - 20x - 15 = 0 a. Write it in Standard form and find the following:…

Q: x² + x - 30 |x - 51 (a) Find the following limits. (If an answer does not exist, enter DNE.) Let…

Q: Find the general solution of the given differential equation, and use it to determine how solutions…

A: The given differential equation

Q: Find the solution of the given initial value problem in explicit form. Determine the interval in…

Q: For the points P₁(-5,3,4) and P2(4,5,0), find the direction of P₁ P2 and the midpoint of line…

Q: Consider the function y . Can x be greater than 0, but less than 1?

A: The given function .The aim is to find the domain of the function.

Q: For the function f whose graph is shown, state the following. (If the limit is infinite, enter 'co'…

A: We are to find the limit values by using the given graph.A limit of a function f(x) at a point x=a…

Q: Taylor Series Approximation Formula f(x) = f(a) + f'(a)(x − a) + - f" (a) 2 _¡'¹' (a) (x − a)³ + ...…

Q: The total U.S. personal income I (in billions of dollars) from 1970 and projected to 2024 can be…

A: We are given the U.S personal income from 1970 to 2024 can be approximated by where t is the number…

Q: The total amount of consumer credit has been increasing steadily in recent years. The following…

A: The given data,YearConsumer…

Q: Find the limit. (If an answer does not exist, enter DNE.) x² - 6x+5 x-1 lim x+1

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: A real estate office manages an apartment complex with 50 units. When the rent is $790 per month,…

Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. x² - 4x…

A: When ,When ,When ,When ,When ,When ,When ,When ,When ,When ,

Q: 1. The matrix J is given by J= a) Show that J² d -b -C $] a [a b]. c d where a+d=-1 and ad-bc=1.

Q: The signum, or sign, function, denoted by sgn, is defined by sgn(x) = if x 0

A: sgn⁡(x)={−1 if x<00 if x=01 if x>0

Q: 15 Find the area of the surface generated by revolving x= 2√4-y, 0sys about the y-axis. The area is…

Q: Evaluate the limit 4x + 9 lim x 11x²9x +9

Q: 13. Find pF dr, where P is the curve F = F(x, y, z) = (²). . cost sin t 0 ≤t≤ 27, and

Q: K For the function shown below, find (if the quantity exists) (A) lim f(x), (B) lim f(x), (C) lim…

Q: Differentiate implicitly to find the first partial derivatives of w. x2 +y2 + 2² - 7yw + 6w2 = 9 +22…

A: Given Expression

Q: 10. The graph of y = 4 |x|-7 is symmetric with respect to which of the following? A. y-axis C. y = x…

A: (i) x-axis symmetry- if we put y=-y and we get the original equation. than the function is symmetric…

Q: 2. Solve the differential equation if y(0) = 0, y' (0) = 0, and y" (0) = 1. y"" + 2y" - y' - 2y =…

Q: Estimate the slope of the line from its graph. y 7 6- 5- 3 2 0 1 2 3 X 5 6 7

Q: A 0.8-liter bottle of Mexican wine costs 108 pesos. At that price, how much would a half-gallon jug…

Q: Find a vector equation and parametric equations for the line through the point (4, 2.7, 3.1) and…

A: To find a vector equation and parametric equations for the line passing throughthe point (4, 2.7,…

Q: Solve the initial value problem. 5x2 − x − 3 ' + 1)(y + 1) · Y(1) = 5 2 +² dy dx (x +

Q: Use the information listed below to solve parts a through h. (... Suppose that the demand and price…

Q: Let R be the region bounded by the following curves. Let S be the solid generated when R is revolved…

Q: Find the difference quotient and simplify your answer. f(x) = f(64) X 64 f(x) = x2/3 + 2, "I X # 64

Q: 3. Evaluate the following limits: a) lim 3x² − x+7 x→3

A: To find

Q: Question 20 Provide an appropriate response. Consider the function y . Can x be negative?

Q: An object moves in such a way that its velocity (in m/s) after time t (in seconds) is given by:…

Q: The graph of a function f is given. (Enter your answers as comma-separated lists.) (a) At what…

Q: 285. 10 [(1 - cos ³0) e) cos²0 sinode

Q: A moving conveyor is built to rise 1 m for each 5 m of horizontal change. (a) Find the slope of the…

Q: 12. Expand the following binomial functions by using given formula. finding kth term of (a+b)" n!…

Q: Question 4 Find the domain and range of the function. = g(z)= √₂+1

A: consider the given function

Q: 14. Find the magnitude of the torque vector, measured in Newton-meters, produced by a cyclist…

Q: 4. Evaluate each function for the indicated value or expression. (a) v(t) = 5t² – 3t+4, v(−3) (b)…

A: As per the company's guidelines, we are supposed to answer the first three sub-parts for you, Kindly…

Q: Given that lim g(x) = -2 lim_h(x) = 0, x-1 find each limit, if it exists. (If an answer does not…

Q: 18. Let P denote the path parametrized by F(t) = (1/2), 0 ≤ Compute ſp F·dF, where F (x, y, z) = (…

A: To compute

Q: Write an equation for the graph shown below. Use y as the dependent variable. y t X

A: given graph to find the equation

Q: For what value of k is the function f(x)= Select one: O a. O b. 064 d. 2* 2x²-9x+10 x-4 7 x=2 k, x =…

Q: The implied domain is the set of all real numbers for which the expression is defined. The domain…

Question

Determine whether the lines L₁ and L₂ given by the vector equations are parallel, perpendicular, or neither.

L₁: r(t) = (-1 + 4t)i + (5 + t)j
L₂: r(s) = (3 + 2s)i + (2 - 8s)j

If the lines are not parallel, find their point of intersection. (If the lines are parallel, enter PARALLEL.)

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: State the given data:

VIEW

Step 2: Determine whether the lines are parallel, perpendicular or neither:

VIEW

Step 3: Determine point of intersection:

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

For the vector v=(3,2), sketch a 4v, b 12v, and c 0v.
Determine whether each vector is a scalar multiple of z=(3,2,5). a v=(92,3,152) b w=(9,6,15)
2. If , and the vector is drawn with its tail at the point, find the coordinates of the point at the head of .
Determine whether the lines L₁ and L2 given by the vector equations are parallel, perpendicular, or neither. L₁: r(t) = (-2 + 4t)i + (2 + t)j L₂: r(s) = (1 + 2s)i + (3 - 8s)j neither perpendicular parallel If the lines are not parallel, find their point of intersection. (If the lines are parallel, enter PARALLEL.) (
a⃗ =⟨5, −1⟩ and b⃗ =⟨−2,−5⟩. Represent a⃗ +b⃗ using the head to tail method. Use the Vector tool to draw a⃗ and b⃗ , complete the head to tail method, and draw a⃗ +b⃗ . To use the Vector tool, select the initial point and then the terminal point.
Write the vector equation that is equivalent to the system of equations: 12x1 13x2 11x3 14x1 2x2 6x3 3x1 12x2 + 11c3 +x2 +x3
Describe the graph of the equation: r = 3ti - 8j + (1 + 3t) k. [Choose the correct answer.] The equation is a line in 3-space through the point (0, - 8) and parallel to the vector 3i+ 3k. O The equation is a line in 3-space through the point (3) and parallel to the vector - 8j + k. O The equation is a line in 3-space through the point (0, - 8) and perpendicular to the vector 3i + 3k. O The equation is a helix in 3-space containing the point (0, - 8) and above a circle with radius 6.
3. If a = 3x - 5ỹ and b = -2x +9y, write the vector 5a-86 in terms of x and y
a. Write the vector (-4,-8, 6) as a linear combination of a₁ (1, -3, -2), a₂ = (-5,–2,5) and ẩ3 = (−1,2,3). Express your answer in terms of the named vectors. Your answer should be in the form 4ả₁ + 5ả₂ + 6ẩ3, which would be entered as 4a1 + 5a2 + 6a3. (-4,-8, 6) = -3a1+a2+2a3 b. Represent the vector (-4,-8,6) in terms of the ordered basis = {(1, −3,−2), (-5, -2,5),(-1,2,3)}. Your answer should be a vector of the general form . [(-4,-8,6)] =
a⃗ =⟨−3,−5⟩ and b⃗ =⟨1,4⟩. Represent a⃗ +b⃗ using the parallelogram method. Use the Vector tool to draw the vectors, complete the parallelogram method, and draw a⃗ +b⃗ . To use the Vector tool, select the initial point and then the terminal point.
d = (-4, –2) and b = (1,3). Represent ä + b using the parallelogram method. Use the Vector tool to draw the vectors, complete the parallelogram method, and draw ä + b. To use the Vector tool, select the initial point and then the terminal point.
How do you subtract two vectors algebraically? Geometrically?