Question: Angles. Find the acute angle between: (a) the lines -3=2-y, z = 1 and z=7, y-2=z-5 2z+y+ 3z = 0 and 3x-2y+42-4=0 (b) the

Angles. Find the acute angle between: (a) the lines -3=2-y, z = 1 and z=7, y-2=z-5 2z+y+ 3z = 0 and 3x-2y+42-4=0 (b) the planes (c) the line = 2t-7, y=4t-6, z = t-5; teR and a vector normal to the plane x+2y-4z=0

Step by Step Solution

★★★★★

3.44 Rating (151 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a The lines x3 2y z1 and x7 y2z5 are parallel lines in 3D space The angle between parallel lines is ... View full answer

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 Finance Questions!

Jerry Clark is the sole proprietor of Affordable Digital Hearing, which does business by repairing hearing aids. In June 2006, Clark received a call from Kevin Wilson, a representative of...

Find the acute angle between the planes 2x - 4y + z = 7 and 3x + 2y - 5z = 9.

In matlab please. Array access and modification Perform all the following operations in a script using array operations! Make sure you document it properly and minimize the # of operations. Each of...

Leaks in a 2-mile gas delivery pipeline occur randomly In the past 36 mo there were five leaks reported along the pipeline. (a) What type of distribution model is suitable to represent the number of...

Please help me with these questions 7. Angles. Find the acute angle between: (a) the lines x3=2y,z=1 and x=7,y2=z5 (b) the planes 2x+y+3z=0 and 3x2y+4z4=0 (c) the line x=2t7,y=4t6,z=t5;tR and a...

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...

a] Find the parametric Equation of a line in R' passing through the points A [3, J) and B [9, 5). [K {3] x=4t b] Determine IF the point P[2, 5, 4|} lies on the {y = 1 + 2:} [K [3] z = 2 3t 2. Find...

Find the acute angle between the intersecting lines x = 2 t , y = 6 t , z = - 3 t and x = 1 - 3 t , y = 1 4 2 t , z = 6 t . The angle is radians. ( Round to the nearest thousandth as needed. )

Find the acute angle between the intersecting lines x = 2 t , y = 8 t , z = - 4 t and x = - 4 t , y = 1 8 2 t , z = 8 t . The angle is radians. ( Round to the nearest thousandth as needed. )

Find the acute angle between the intersecting lines xequals = 7 t 7 t , yequals = 6 t 6 t , zequals = negative 3 t 3 t and xequals = 1 1 minus 3 t 1 1 3 t , yequals = 1 9 plus 7 t 1 9 + 7 t , zequals...

"Delta Air Lines Inc., the nation's No. 2 airline by traffic, says that for every $1 increase in the passenger facility charge, passenger demand declines by more than 1%." What additional information...

(a) Use a graphing calculator to fit a regression line to the data in Exercise 62. In Exercise 62 Year, x Percentage of Deaths Followed by Cremation, y 2005, 0...

Question content area top Part 1 Which of the following types of income is property income? Question content area bottom Part 1 A . capital gains realized on the sale of shares of a publicly traded...

Adrenomedullin, a hormone found in the adrenal gland, participates in bloodpressure and heart-rate control. The level of adrenomedullin is raised in a variety of diseases, and medical complications,...

Steve Reese is a well-known interior designer in Fort Worth, Texas. He wants to start his own business and convinces Rob ODonnell, a local merchant, to contribute the capital to form a partnership....

Bond prices depend on the market rate of interest, stated rate of interest, and time. Determine whether the following bonds payable will be issued at face value, at a premium, or at a discount: a....

Stonehenge Corporation has 300,000 shares of $40 par common stock outstanding. On February 13, Stonehenge Corporation declared a 3% stock dividend to be issued April 30 to stockholders of record on...

Gray, Stone, and Lawson open an accounting practice on January 1, 2016, in San Diego, California, to be operated as a partnership. Gray and Stone will serve as the senior partners because of their...

Let C be an elliptic curve defined over an algebraic number field k, and LC(s) the L-function of C over k in the sense that C(s)=k(s)k(s1)/LC(s) is the zeta function of C over k. If the HasseWeil...

The vector w =a i +b j is perpendicular to the line ax+by=c and parallel to the line bx?ay=c. It is also true that the acute angle between intersecting lines that do not cross at right angles is the...

9. [-/3 Points] DETAILS SCALCET8 12.3.022. Find, correct to the nearest degree, the three angles of the triangle with the given vertices. A(1, 0, -1), B(3, -2, 0), C(1, 2, 3) LCAB = O LABC = O LBCA =...

1. Find the direction cosines and direction angles of the vector. (Give the direction angles correct to the nearest tenth of a degree.) 2i - j - 4k cos(a) = cos(B) = cos(Y) = a = B =Find the acute...

The vector wequals = aiplus + bj is perpendicular to the line axplus + byequals = c and parallel to the line bxminus ayequals = c . It is also true that the acute angle between intersecting lines...

(1) Find the direction vector of the line joining the points (a) A(7,6) and B(-2,5), (b) with position vectors -3i- 4j and -2i + 7j, () (4,-2) nd Q(4,9). (2) Find the vector equation of the line (a)...

Draw a diagram showing the quadrant is which the rotating line OP lies for each of the following angles. In each question indicate clearly the direction of rotation and find the acute angle that the...