Direction ratio of line joining (2, 3, 4) and (−1, −2, 1), are: A. (−3, −5, −3) B. (−3, 1, −3) C. (−1, −5, −3) D. (−3, −5, 5)

Direction ratio of line joining (2, 3, 4) and (−1, −2, 1), are:

A. (−3, −5, −3)

B. (−3, 1, −3)

C. (−1, −5, −3)

D. (−3, −5, 5)

Expert Solution

Answer : A. (−3, −5, −3)

Explanation :

Direction ratios are difference between the coordinates of two points,

(x1, y1, z1) = ( -1, -2, 1)

(x2, y2, z2) = ( 2, 3, 4)

dr's' = (x2 - x1) , (y2 - y1), (z2 - z1)

=(−1−2), (−2−3), (1−4)

= (−3, −5, −3)

The direction ratio of the line joining A (2, 3, 4) & B (−1, −2, 1), are ( -3, -5, -3).

A. (-3, -5, -3)

Rakesh answered 2 years ago

1. Evaluate: (a+b)/(c-d) + 9/(a+d) when a=5, b=3, c=8, d=4 a. 6 b. 3 c. 15/2...

1. Evaluate: (a+b)/(c-d) + 9/(a+d) when a=5, b=3, c=8, d=4 a. 6 b. 3 c. 15/2 d. 17/13 2. Solve for x: 5(x+3) = 35 a. 2 b. 7 c. 4 d. -4 3. Acid rain occurs primarily as a result of a. operating a nuclear power plant b. burning coal or oil containing sulfur c. by-products created by operating an oil refinery d. the use of Freon and other refrigerants 4. The "ozone holes" at the polar region arise...

Find the value of a : b : c : d, if a : b = 2 : 3, b : c = 4 : 5 and c : d = 6 : 7.

A, B, C, D are all matricies A = 2x3 1 2 −3 −1 4 5...

A, B, C, D are all matricies A = 2x3 1 2 −3 −1 4 5 , B = 2x3 3 0 −1 1 2 1 , C = 2x2 2 5 1 2 , D = 3x3 1 −1 1 2 −1 2 4 −3 4 Find each of the following or explain why it does not exist. 1) A + B, 2) 2A − 3B, 3) A + C, 4) A − C, 5) AC, 6) CA, 7)...

Atomicity of phosphorus is (a) 1 (b) 2 (c) 3 (d) 4

Atomicity of phosphorus is ________.(a) 1(b) 2(c) 3(d) 4

Male Female child A 4 3 9 B 3 541 2 C 5 1 f541 D...

Male Female child A 4 3 9 B 3 541 2 C 5 1 f541 D 9 6 4 E 7 9 10 IAQ 6 USING THE TABLE IN IAQ 5, THE NAMES OF ALL OF THESE PEOPLE ARE PLACED IN A BOX, THEY ARE THORUGHLY MIXED; THEN ONE NAME IS PULLED FROM THE BOX AT RANDOM; ; FIND THE PROBABILITY THAT THE PERSON WAS FEMALE GIVEN THAT THEY WERE IN GROUP B 3 PLACE DECIMAL

Let L be the line passing through the point P=(−3, −4, 2) with direction vector →d=[−3,...

Let L be the line passing through the point P=(−3, −4, 2) with direction vector →d=[−3, 3, 0]T. Find the shortest distance d from the point P0=(1, −5, −1) to L, and the point Q on L that is closest to P0. Use the square root symbol '√' where needed to give an exact value for your answer. d = 0 Q = (0, 0, 0)

4. Devos inc has 4 teams (A, B, C, D) and 4 (1, 2, 3, 4)...

4. Devos inc has 4 teams (A, B, C, D) and 4 (1, 2, 3, 4) potential tasks. The total amount of days each employee would need to allocate to each job is as follows: Potential Tasks Team 1 2 3 4 A 28 33 21 35 B 41 43 23 37 C 48 28 33 42 D 49 27 43 46 Use Excel solver Match the team the most efficient task. What is the total number of days...

A B C D 1 Chapter 5: Applying Excel 2 3 Data 4 Selling price per...

A B C D 1 Chapter 5: Applying Excel 2 3 Data 4 Selling price per unit $321 5 Manufacturing costs: 6 Variable per unit produced: 7 Direct materials $141 8 Direct labor $69 9 Variable manufacturing overhead $40 10 Fixed manufacturing overhead per year $127,600 11 Selling and administrative expenses: 12 Variable per unit sold $5 13 Fixed per year $65,000 14 15 Year 1 Year 2 16 Units in beginning inventory 0 17 Units produced during the year...

A B C D 1 Chapter 5: Applying Excel 2 3 Data 4 Unit sales 30,000...

A B C D 1 Chapter 5: Applying Excel 2 3 Data 4 Unit sales 30,000 units 5 Selling price per unit $70 per unit 6 Variable expenses per unit $42 per unit 7 Fixed expenses $420,000 8 If your formulas are correct, you should get the correct answers to the following questions. (a) What is the break-even in dollar sales? (b) What is the margin of safety percentage? (c) What is the degree of operating leverage? (Round...

3. Let A = D + 1, B = D − 3, C = D +...

3. Let A = D + 1, B = D − 3, C = D + x, where D = dx. Calculate the differential operators AB, BC, CA and their effect on y(x) = e^3x

Question