80 36 23.2 63 85 29.6 18 77 19 4. 26 48 14.8 19 19 7.6 As shown in the figure is an irregular polygon in 3-space. The coordinate points are as shown in the table. a) Calculate the area of the polygon. Round off the value to a whole number. b) The polygon is on a plane (P1). Find the normal unit vector of the plane. Round values to 3 signifi- cant figures. c) A force vector < 100,1,-50> is acting on the plane (P1, the same in question part b). This force vector is the sum of two vectors: one tangential to the plane; and one normal to the plane. What is the vector that is normal to the plane (Need not round off values)? d) What is the absolute magnitude of the vector that is tangential to the plane (Round values to 3 sig- nificant figures)?

Q: (H.W) Show that the area of parallelogram is Ā x B| ?

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: h 8 7 10

A:

Q: 1. Given the vectors = (2, -6) and 7 = (5, 5) , find %3D a. 37 -7 b. |7 + 7|

A:

Q: Using vectors, find the area of the triangle with vertices P(5, -1, -3), Q(7, 2, -4), and R(6, 1,…

A:

Q: The triangle shown on the grid below has vertices A(-1, 4), B(3, 0), and C(-1,-3). Suppose that…

A:

Q: onsider the points A = (2,2,0), B = (4,3,1), and C= (- so consider the yector y = −32 +51 + -3î 1 k.

A: Given points and a vector We have to find the value of  such that

Q: gram ABCD is shown below. Give the coordinates of A. D(-f,8) A (?, ?) с (0, 0) B (r, 0)

A:

Q: A parallelogram is formed by the vectors [1, 2] and [3, -4]. Find the area of the parallelogram. O…

A: Given query is to find the area of parallelogram.

Q: Determine the (smaller) angle between the two vectors A=5a-7a+ 4a $ B=-2a +a a-3a r $ Express your…

A:

Q: Find the angle 0 between v = and w answer correct to three decimal places. a. . Assume 0° < 0 <…

A:

Q: What is the area of the parallelogram generated by the vectors a = 8i +3j-ky b-i-j+10k? A. 101.58 B.…

A: We have to find the area of the parallelogram generated by the two vector

Q: Name the vector and write its component form. 13. 14.

A:

Q: Find the angle between the vectors originating from 0(0,0,0) toward A(2,3,1) and toward B(-3,1,-2)…

A:

Q: PR Find the length of QS P. S. PS=5x - 13 QRST is a parallelogram. %3D 6- 0

A: Concept: As we know that diagonal of parallelogram bisect each other. Therefore  QP=PS= QS/2

Q: 2) (3, 50"), Convert to rectangular coordinates and state which quadrant it is in.

A: Consider the given information: r,θ=3,50° To convert it into rectangular coordinates.

Q: Complete the table by solving the parallelogram shown in the figure. (The lengths of the diagonals…

A: Diagonals of a parallelogram bisect each other and also bisect the respective vertices of the…

Q: Let ā = (1, −1, −3) and 6 = (–1, −3, −5). Find the angle, in degrees, between the vectors.

A:

Q: Leta=7-67 and b=31-23. Use the dot product to determine if the angle between the two vectors is…

A:

Q: The simply supported beam loaded as shown. The length of the beam is 6 m, a = 4 m, the load P = 4000…

A: Given: l=6m, a=4m, P=4000N To find: Solution

Q: 2(4x - 15) (5y- 2) 2(3x + 7) D 2(2y + 1)

A: See attached file for a step by step explanation.

Q: Convert the equation p 2 to rectangular coordinates and write in standard form.

A:

Q: 2. Parallelogram FGHI 80° H

A:

Q: Express the following vectors in Cartesian (component) form. a) f has magnitude 20 and direction…

A: Solution:-

Q: .How many quadrant does cartesian plane have? а. 1 b. 2 С. 3 d. 4 .In the cartesian plane, what is…

A: A Cartesian plane has 4 quadrant Option D is correct answer

Q: 47 Y-2 38 X+3

A: