Question: A methane molecule has a carbon atom situated at the origin and four hydrogen atoms located at points P(1,1,-1), Q(1,-1, 1), R(-1,1,1), and S(-1,-1,-1).

A methane molecule has a carbon atom situated at the origin and

A methane molecule has a carbon atom situated at the origin and four hydrogen atoms located at points P(1,1,-1), Q(1,-1, 1), R(-1,1,1), and S(-1,-1,-1). Q(1,-1, 1) ZA S(-1,-1,-1) R(-1, 1, 1) y P(1, 1, -1) (a) Find the distance between the hydrogen atoms located at P and R. (b) Find the angle between vectors OS and OR that connect the carbon atom with the hydrogen atoms located at S and R. This is called the bond angle. Express the answer in degrees rounded to two decimal places.

Step by Step Solution

★★★★★

3.51 Rating (148 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a distance D and R PR 1 111 di1vj PR b We know Here 41 0 4 22 unite and between 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 Mathematics Questions!

The figure shows the Sun located at the origin and Earth at the point (1, 0). (The unit here is the distance between the centers of Earth and the Sun, called an astronomical unit: 1 AU ≈ 1.496...

ABC Corporation sends XYZ Ltd. a purchase order for $100,000 worth of goat cheese. The purchase order contains numerous terms and conditions. XYZ sends ABC an acknowledgment form with XYZs terms and...

Anthony drew a pentagon with each side measuring 6 inches. Carol drew hexagon with each side measuring 5 inches. Which shape has a greater perimeter? Write an equation to help explain your answer.

A uniform disk with radius 1 m is to be cut by a line so that the center of mass of the smaller piece lies halfway along a radius. How close to the center of the disk should the cut be made? (Express...

Display Labs Inc recently began production of a new product, flat panel displays, which required the investment of $1,800,000 in assets. The costs of producing and selling 9000 units of flat panel...

An ideal electric dipole is situated at the origin, and points in the z direction, as in Fig. 3.36. An electric charge is released from rest at a point in the xy plane. Show that it swings back and...

Use the data given in PA13- 1 for Pinnacle Plus. Required: 1. Compute the gross profit percentage in the current and previous years. Round the percentages to one decimal place. Are the current year...

Capitalization of Interest McPherson Furniture Company started construction of a combination office and warehouse building for its own use at an estimated cost of $5,000,000 on January 1, 2010....

A condensed income statement for the Water Sports Division of South Mountain Sports Inc. for the year ended January 31, 2010, is as follows: Sales $ 600,000 Cost of goods sold 236,000 Gross profit $...

An express checkout line at a grocery store takes an average of 3 minutes to ring-up a customers order. On average 4 customers are in the checkout line. What is the average number of customers per...

State, with evidence, whether each of the following statements is true or false: a. The probability of the union of two events cannot be less than the probability of their intersection. b. The...

Other things held constant, an increase in _ _ _ _ _ _ _ _ will decrease the current ratio. Assume an initial current ratio greater than 1 . 0 .

On January 1, 2018, HGC Camera Store adopted the dollar-value LIFO retail inventory method. Inventory transactions at both cost and retail, and cost indexes for 2018 and 2019 are as follows:...

Smith-Kline Company maintains inventory records at selling prices as well as at cost. For 2018, the records indicate the following data: Required: Assuming the price level increased from 1.00 at...

Alquist Company uses the retail method to estimate its ending inventory . Selected information about its year 2018 operations is as follows: a. January 1, 2018, beginning inventory had a cost of...

Sparrow Company uses the retail inventory method to estimate ending inventory and cost of goods sold. Data for 2018 are as follows: The company records sales net of employee discounts. Discounts for...

Elliott, Inc., has four salaried clerks to process purchase orders. Each clerk is paid a salary of $25,750 and is capable of processing as many as 6,500 purchase orders per year. Each clerk uses a PC...

Evaluate oCxy2dxx3dy, where C is the rectangle with vertices (0,0),(5,0),(5,4), and (0,4)

Find the derivative of the function. y = e tan

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement. If c n x n is convergent, then c n (-2) n is...

Evaluate the iterated integral by converting to polar coordinates. 1/2 -y xv dx dy /1-y2 /3y

Changing attitudes about marriage and families prompted Pew Research to ask how people felt about particular recent trends (pewresearch.org/pubs/1802/decline-marriage-rise-new-families). For each...

Hearing anecdotal reports that some patients undergoing treatment for the eating disorder anorexia seemed to be responding positively to the antidepressant Prozac, medical researchers conducted an...

Here are histograms for four manufactured sets of numbers. The histograms look rather different, but all four sets have the same 5-number summary, so the boxplots for all four sets are identical to...