Find a vector equation and parametric equations for the line. The line through the point (0, 14, -10) and parallel to the line

John Stewart
2021-12-13
Answered

Find a vector equation and parametric equations for the line. The line through the point (0, 14, -10) and parallel to the line

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asked 2021-03-26

A pair of forces with equal magnitudes, opposite directions,and different lines of action is called a "couple". When acouple acts on a rigid object, the couple produces a torque thatdoes not depend on the location of the axis. The drawing shows acouple acting on a tire wrench, each force being perpendicular tothe wrench. Determine an expression for the torque produced by thecouple when the axis is perpendicular to the tired and passesthrough (a) point A, (b) point B, and (c) point C. Express youranswers in terms of the magnitude F of the force and the length Lof the wrench

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A 0.48 kg piece of wood floats in water but is found to sinkin alcohol (specific gravity= 0.79) in which it has an apparentmass 0.035 kg. What is the SG of the wood?

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When a car stops suddenly, the passengers tend to move forward relative to their seats. Why? When a car makes a sharp turn, the passengers tend to slide to one side of the car. Why?

asked 2021-02-26

A tow truck pulls a car that is stuck in the mud, with a force of 2500 N as in Fig P5.27 The tow cable is under tension and therefor pulls downward and to the left on the pin at its upper end. The light pin is held in equilibrium by forces exerted by the two bars A and B. Each bar is a strut that is, each is a bar whose weight is small compared to the forces it exerts, and which exerts forces only through hinge pins at its ends. Each strut exerts a force directed parallel to its length. Determine the force of tension or compression in each strut. Proceed as follows Make a guess as to which way (pushing or pulling ) each force acts on the top pin Draw a free-body diagram of the pin. Use the condition for equilibrium of the pin to translate the free-body diagram into equations. From the equations calculate the forces exerted by struts A and B. If you obtain a positive answer, you correctly guessed the direction of the force. A negative answer means the direction should be reversed, but the absolute value correction should be reversed, but the absolute value correctly gives the magnitude of the force. If a strut pulls of a pin, it is in tension. If it pushes, the strut is in compression. Identify whether each strut is in tension or in compression.

asked 2021-10-11

To solve a rational inequality, we factor the numerator and the denominator into irreducible factors. The cut points are the real __________ of the numerator and the real ________ denominator. Then we find the intervals determined by the _________ ________, and we use test points to find the sign of the rational function on each interval. Let

Fill in the diagram below to find the intervals on which

From the diagram we see that

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asked 2021-01-28

Often in buying a product at a supermarket, there is a concernabout that item being underweight. Suppose there are 20 "one-pound"packages of frozen ground turkey on display and 3 of them areunderweight. A consumer group buys five of the 20 packages atrandom. What is the probability of at least one of the five beingunderweight?

Suppose that a school has 20 classes: 16 with 25 students ineach, three with 100 students in each, and one with 300 studentsfor a total of 1000 students.

(a) What is the average class size?

(b) Select a student randomly out of the 1000 students. Letthe random variable X equal the size of the class to which thisstudent belongs and define the p.m.f. of X.

(c) Find E(X), the expected value of X. Does this answersurprise you?

Suppose that a school has 20 classes: 16 with 25 students ineach, three with 100 students in each, and one with 300 studentsfor a total of 1000 students.

(a) What is the average class size?

(b) Select a student randomly out of the 1000 students. Letthe random variable X equal the size of the class to which thisstudent belongs and define the p.m.f. of X.

(c) Find E(X), the expected value of X. Does this answersurprise you?