Question: (a) Find a vector equation and parametric equations for the line that passes through the point (5, 1, 3) and is parallel to the vector

(a) Find a vector equation and parametric equations for the line that passes through the point (5, 1, 3) and is parallel to the vector i + 4j – 2k. 

(b) Find two other points on the line.

Step by Step Solution

★★★★★

3.51 Rating (154 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a Here so the vector equation 1 becomes Parametr... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Calculus 6th edition Questions!

Q:

Ritt Ranch & Farm is a distributor of ranch and farm equipment. Its products range from small tools, power equipment for trench-digging and fencing, grain dryers, and barn winches. Most products...

Q:

(a) Find symmetric equations for the line that passes through the point (1, -5, 6) and is parallel to the vector (-1, 2, -3). (b) Find the points in which the required line in part (a) intersects the...

Q:

Find a vector equation and parametric equations for the line. The line through the point (1, 8, 7) and parallel to the vector 1 1 1 2 3 4

Q:

I need solve this questions of calculus III Work problems 1 (a)[I ' Show that the following equation represents a sphere. and nd its center and radius. x2+y2+zz+(10)x +(2)y+(8)z +17: (b)l" . .1 Find...

Q:

I need solve this assignment of math 261 Question 1 (a)[I ' Show that the following equation represents a Sphere, and nd its center and radius. x2+y2+zz+(-10)x +(-2)y+(8)z +17= (b)l' . J Find an...

Q:

Find a Vector equation and Parametric equations for the line. The line through the point (,,) and parallel to the line ,, = + , = , = +

Q:

Find a Vector equation and Parametric equations for the line. The line through the point (,,) and perpendicular to the plane + + =

Q:

Find a vector equation and parametric equations for the line segment that joins the point P(1, 3, 2) to the point Q(2, 1, 3).

Q:

Find a vector equation and parametric equations for the line. (Use the parameter r.) The line through the point (5, 2.2, 3.6) and parallel to the vector 2i + 2j k r(t) = G -- I'v X (m), y(t), 2(0) =(...

Q:

Find the magnitude of the resultant force and the angle it makes with the positive x-axis. (Let a = 100 N and b = 400 N. Round your answers to one decimal place.) magnitude 360.6 N angle % y Need...

Q:

From the 1944 to 1971, the international monetary system is under the so called Bretton Woods System, in which U.S. dollar is pegged to gold at $35/oz and all other currencies are pegged to dollar....

Q:

This problem helps you develop skill in recording transactions by using a companys actual account titles. Refer to the Amazon.com financial statements in Appendix A. Note that large companies like...

Q:

Theodore is a musician who is cmbarking on a carecr of playing folk and soft rock guitar music in the evening at fine dining restaurants and similar venues. Theodore has calculated that he will...

Q:

=+a. Determine the price-earnings ratio and dividend yield for the three companies. Round to one decimal place.

Q:

The demand functions for each of two goods depend on the prices of the goods, p1 and p2: Q1 = 15 - 3p1 + p2 and Q2 = 6 - 2p2 + p1. However, each supply curve depends only on its own price: Q1 = 2 +...

Q:

The market demand for medical checkups per day is QF = 25(198 + nC /20,000 - pF), where nC is the number of patients per day who are at least 40 years old, and pF is the price of a checkup. The...

Q:

The demand curve in Sector 1 of the labor market is L1 = a - bw. The demand curve in Sector 2 is L2 = c - dw. The supply curve of labor for the entire market is L = e + fw. In equilibrium, L1 + L2 =...

Q:

Journalize the entry Chang Company should make in January to record the last transfer (payment) of FUTA taxes. If an amount box does not require an entry, leave it blank

Q:

Assume that Piola Company hired you as a consultant to help estimate its cost of capital. You have obtained the following data: D0 = $0.90; P0 = $40.00; and g = 7.00% (constant). Based on the DCF...

Q:

How would the exercise of an option that was part of an initial compound instrument be recorded