Question: Find the vector from the origin to the point of intersection of the medians of the triangle whose vertices are A(1, -1, 2), B(2, 1,

Find the vector from the origin to the point of intersection of the medians of the triangle whose vertices are A(1, -1, 2), B(2, 1, 3), and C(-1, 2, -1).

Step by Step Solution

★★★★★

3.43 Rating (172 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To find the point of intersection of the medians of the triangle we first need to find the midpoint ... 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 Precalculus Questions!

Solve the right triangles with the given parts. Refer to Fig. 4.68. a = 106, c = 382 A C b Fig. 4.68 B a C

Solve the right triangles with the given parts. Refer to Fig. 4.68. A = 37.5, a = 12.0 A C b Fig. 4.68 B a C

Solve the right triangles with the given parts. Refer to Fig. 4.68. b = 6.508, c = 7.642 A C b Fig. 4.68 B a C

PART C 1 . Redraw the three vectors to clearly illustrate the associative law of addition. (a + b) + c= at(b+c) 2. Define the following terms: a) Zero Vector b) Collinear Vectors THINKING 1. Given: |...

Unit 4 test MTH 208A Geometry Unit 4 Test 43 points \"You will need to show all work- including graphing polygons. You can print the test and then scan and submit, use the Drawing tools in Word, take...

Write the answer SPECIFIC! 2. Solve all parts. (a) Find the vector equation of a line passing through the point (1, 2, 3) and parallel to a = (1,0, 1). (b) Find the equation of a second line that...

In contrast to the proof in Exercise 81, we now use coordinates and position vectors to prove the same result. Without loss of generality, let P(x 1 , y 1 , 0) and Q(x 2 , y 2 , 0) be two points in...

25. Find the area of the triangle whose vertices are (0, 1, 2), (3, 4, 5), and (- 1, - 1, 0). 26. Find the area of the triangle whose vertices are (0, 1, 2), (1, 1, 1), and (2, 1, 0). 27. Find the...

(a) Translate the triangle whose vertices are (1, 6), (4, 7), and (7, 1) three units left. (b) Translate the triangle whose vertices are (7, 7), (5, 3), and (2, 7) five units down. (c) Translate the...

Exercises In Exercises 1-8, write the equation of the plane with normal vector n passing through the given point in the scalar form ax + by + cz = d. 1. n = (1, 3, 2), (4, -1, 1) 2. n = (-1,2, 1),...

Wearing layers of clothing in cold weather is often recommended because dead-air spaces between the layers keep the body warm. The explanation for this is that the heat loss from the body is less....

A student majoring in science who had graduated from school suspected that the average price of lunch in school canteen had increased during the pandemic. Before the pandemic, the price of the lunch...

ghbouring houses that is , houses that are either next to each other ( ignoring trees ) or over the road from one another ( directly opposite ) can interfere, and must therefore be on different...

11.34 Chi-squared versus measuring association For the table on recreation and happiness in Exercise 11.32, the chisquared statistic equals 168.78 (df = 4, P@value 6 0.0001). Explain the difference...

(a) Determine whether the sequence defined as follows is convergent or divergent: a 1 = 1 a n + 1 = 4 n an for n > 1 (b) What happens if the first term is a 1 = 2?

If you deposit $100 at the end of every month into an account that pays 3% interest per year compounded monthly, the amount of interest accumulated after n months is given by the sequence

Determine whether the sequence is increasing, decreasing, or not monotonic. Is the sequence bounded? a n = cos n

Mackenzie Inc. uses a perpetual inventory system and has prepared the following adfusted triar batance on December 31, 2019: Instructions 8 Accumulated Depreciation 9 Accounts Payable 10 Salaries...

Crane Manufacturing Company produces three products in its Dallas factory. Data relating to the products are given below: A total of 14,400 hours are available in the Dallas facility. (a) Your answer...

1 points Save Awwel Apple Inc. has 1,000,000 shares of S10 par value ordinary shares and 200,000 shares of S10 par value, 6%, cumulative, participating in excess of 7% preference shares outstanding....