Solve x₁ =-3x1 +4x2 x = -2x1 +3x2,
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A: Dear student, "Since you have posted a question with multiple sub-parts, we will solve first three…
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A: GIVEN DATA:Two vectors are given: = (Ax , Ay) = (2.42, 1.36) = (Bx , By) = (2.59, 1.61) These…
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Q: The electron in a hydrogen atom is in the state |v) = N[3]v100) + 4 |w211)] where ynlm represents…
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Q: 4. Evaluate the following unit vector multiplications: 6 x k) • t () x k) x i Û ×k) × k А. 1 В. 1 С.…
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Q: Compute the area of the region bounded by these parabolas. y = x2 – 4x + 3 and y = -x² + 2x + 3
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Q: Vector A = (8, 4, -5) and Vector B = (-2, 3, 0). Find the angle between these two vectors.
A: Vector A=(8, 4, -5)Vector B= (-2, 3, 0)
Q: A surveyor measures the distance across a straight river by the following method: Starting directly…
A: Given that x = 110 m and θ = 31.2°
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Q: What angle does the tangent to the curve y(x) = sin? (x/5) +17sin(x/5) at x = 5™ make with the…
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- A force 4 N making angle 45 with x axis. The y component is?2 Use the determinant of a matrix to find the area of the triangle whose vertices are (6, 1), (8,5), and (3, 1). ▸ Area = W S Enter an integer or decimal number [more..] Calculator Check Answer X 36 3 20 F3 E $ 4 D 이 C F4 R F % 5 F5 V T MacBook Air A 6 G F6 Y B & 7 H AK F7 C * 00 8 N DII FB - ( 9 F9 K M O V F10 XIn the cross (or vector) product F = qu x B we know that q = 1 F = −29î + −16ĵ + −18k 6.01 +3.07 + 7.0k V = B = B + BJ + Bi What then is B in unit-vector notation if Bx = By? B = i î+ i Ĵ+ i
- A child walking in a field makes three consecutive displacements. The child first moves 6.25 m westward, then 12.9 m northward. Finally, the child moves back to the starting point of the first displacement. What is the magnitude and direction of the child's third displacement? Give the magnitude in m and the direction as an angle south of east. magnitude 14.33 v m direction 115.18 Use trigonometric functions, along with the components of the vector sum, to find the angle. Check the direction against your diagram.° south of east Additional MatorialeVector A is 30° to the left of the negative y-axis. Vector B is 65° above the negative x-axis. Vector C points to the right. You will be asked to find the resultant, R = A + B + C. What are the x- and y-components of the resultant? Group of answer choices Rx = 0.625 m; Ry = 3.11 m Rx = 5.31 m; Ry = -1.57 m Rx = 8.43 m; Ry = -4.69 m Rx = 10.6 m; Ry = -6.89 mProblem 1 Vector A = -5i + 4j. Vector B = -8i - 6j. %3D %3D a) Find the dot product A B. Give your answer to 2 significant figures. b) Using your result from (a) for the dot product, find the smaller angle between A and B. Give your answer to 3 significant figures. Do not use polar coordinates to solve this problem. Of course, you may check your answer with polar coordinates if you want to. Please upload file that has your initials in the file name. For example, if your initials are FDR, the name your file "Week2QuizProb1_FDR.pdf". Upload Choose a File Question 2
- Find the area of the triangle determined by the points P, Q, and R. Find a unit vector perpendicular to plane PQR. Р(- 1,1, - 2), Q(-2,0,1), R(0, -2, - 1)Evaluate the cross product A×B if A = 27, B = 85 and θ = 101°. Evaluate the cross product C×D if C = 16 and D = 43.Given: A: A = -16.7, A, = 37 B: Br= -0.4, By = -23.8 (a) Calculate the length and direction of A. Assume angles are measured from the +x-axis with counter-clockwise as positive angles and clockwise as negative angles. A = 0 A = (b) Calculate the length and direction of B. Assume angles are measured from the +x-axis with counter-clockwise as positive angles and clockwise as negative angles. B = OB (c) Calculate the components of the vector sum of A + B = C: CT= F Cy= (d) Calculate the length and direction of C: Assume angles are measured from the +x-axis with counter-clockwise as positive angles and clockwise as negative angles. C= Oc 0 = 0
- Question 1 What is the angle between the two vectors A = 32 + 4y and B = -82 +6ŷ? 90 degrees O0 degrees O 60 degrees 45 degrees Question 2For the vectors in the figure calculate: (a) (AxF)xD=(b) (AxF) x (DxB) (c) (AxF)(DxB)Two vectors %3D 2 and B = 2 + 3 . Find the approximate angle between the vectors (-3 A ) and (2 )? .A None .B 30° .C 60°