1- (Exercise) Given the vectors à = Tì-2), B = ì-3Ê, and C = 2î-23+3Â, calculate the fol- (1) lowing (a) Ď = Ã+ B + č (b) Ā· B + Ã·Č (c) Ẻ = Ã × Č (d) The angle between A and B

Q: 2. Show that √²(¹) = 0 provided the distance r from a point P(x, y, z) to the origin is not equal to…

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Q: 11. Show that the three vectors a = 0 1 √/27 (1) ; D = (8) b 1 form a CONS. Do the same for 1 2 1 0…

A: The objective of the question is to determine whether the given sets of vectors form a Complete…

Q: FAC =150 N A FAR = 200 N АВ 3 m 3. 3 m y 2 m 4 m

A: As per guideline we are suppose to do only 3 subpart from multipart question. Please post the rest…

Q: 13

A: We are given a boat. We are also 2 forces acting and their directions also. We are given net force…

Q: (a) Eliminate the parameter to find a Cartesian equation of the curve. (b) Sketch the curve and…

A: Given Parameters in term of t x=sinty=cosec t

Q: Problem 2: The force along rod AC is 1000 N. a) Express the force on rod AC, FAC, as a Cartesian…

A: From the diagram, the coordinate of point A or point C is: The vector along rod AC is:

Q: Consider the two vectors A = 2.9i - 1.1j and B = -1i - 4.2j a) Calculate A + B 1.90 i -5.30 j b)…

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Q: 2- if A = 3i –j- 4k, B = -2i + 4j – 3k, C = i + 2j – k, D = ai – 3j – 3k find : (G) The area of a…

A: We need to calculate the area of parallelogram, then calculate the value of alpha, and then…

Q: 1- (Exercise) Given the vectors A= 7i-2j, B=i-3k, and Č = 21 –23+3k, calculate the fol- (1) lowing…

A: Given: The three vectors are

Q: Suppose that you have two vectors (1,0,0, 1) (2,0,0, 2) at What is a"b,?

A: Given that aμ=(1,0,0,1) and bμ=(2,0,0,2) we have to find the value of aμbμ

Q: ii) The angle between the vectors A = 4.0î + ĵ and B = −2.03 is: 0= =

A: We know that A.B= ABcosθ So we can derive θ from the above equation.

Q: 2) Consider the two vectors Ā = A,î + Ayĵ and B = B,î+ Byj. If î · î = ĵ · j = 1 and î·j = ĵ · î =…

A: Write down the given values using suitable variables. Here A signifies the 1st vector, and B…

Q: Problem 1.19 Draw a circle in the xy plane. At a few representative points draw the vector v tangent…

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Q: Approximately what is the magnitude of the resultant of the two vectors of previous question? 4.8…

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Q: Evaluate vector D = xax + yay at the point where p=7, Φ=0.2π (rad) and z=6.

A: The vector is given as :  D=xax+yay The value of cylindrical coordinates are given as :…