Q2. a) A vector is defined as: A = 1i +2j + 3k Sketch this vector in the X, Y, Z co-ordinate system showing the I, j, k components resolved on the axes b) Another vector is defined as: B = 2i +4j - k Calculate the angle between these two vectors, A (in part a) and B (in part b)

Q: Q4 find the length for the following vectors :- a) 2i + j - 2k b) 3i - 6j + 2k c) i +4j - 8k d) 9i -…

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Q: 3) The lines I and m have vector equations r = (3i + 6j + k) + s(2i + 3j - k) and a) Determine…

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Q: A=-i+2j-2k, B =2i+j-k and C=i+2j+3k vectors are given: a)Find the vector R1 = A+2B-C  b)Calculate…

A: Given A= - i + 2 j - 2 k B = 2 i + j - k C= i + 2 j + 3 k  To evaluate, a)Find the vector R 1 = A +…

Q: Determine for the three vectors: x = ai+bj+ck, y = 2i+k and z = di+ej+fk where a = 2, b = -3, c = 3,…

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Q: li) Find the angle between the vectors p i--k and q 21 +j+2k. Iv) Find the unit vector perpendicular…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Consider the three vectors u = (0, -2,3), v = (1,-4,0) and w=(-4,3,-5). a) Find the cross product…

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Q: Consider the three points A = (-2,2,-2), B = (-3,5,5) and C = (1, -2,-2). Determine the vectors u =…

A: Since your question has more than three subparts, so as per Bartleby Guidelines we are answering…

Q: If vector u = (1,2,-2) and v = (3,0,1), vector k is the cross product of uxv. a) prove that the…

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Q: Given the vectors u=-i+3j, v=6i-6j, w=-5i+3j, carry out the designated equation. V*(u+v)

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Q: The position vector of points A, B and C is OA=i+mj+2k,OB =-i+2j- OC = 2i +nj+3k where O is origin,…

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Q: 5. Add vectors 2i– 2j & i+5j by a) Graphing these two vectors in a coordinate system in standard…

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Q: 1) Complete the following short calculations. a) Let u=6i−3j and v=−7i+8j. Find the vector u+v.  u…

A: see 2nd step

Q: Given A = (-4, 2), for which of the choices of B is the vector AB parallel to the line, x + 3y = 1?…

A: The given point A=-4, 2. We have to choose the point B such that the vector AB→ parallel to the line…

Q: Given vector b = −2i - 4j + 8k and c = Bi+j-2k. c 1) Find the value of ß if vector b and care…

A: we need to find the value of β and the unit vector c^ in the opposite direction of c.

Q: ren vector A = -3î + 4j and B = i + 2j. Find vector V where magnitude is 3 and the vector is allel…

A: Parallel vector and magnitude is 3

Q: Q.1) Choose the correct answer for the following: (choose 5 only) 1- The vector from point P=(2,2,1)…

A: This question can be solved using the concept of vectors.

Q: a) Find a (b + c) b) Find | a. (b+c) |. State its geometric interpretation. c) Find a vector that is…

A: a=3i-2j+k,b=-2i+j-4k,c=-i+j-3k

Q: 3) Let a = 3i, b = i + j. Find 5a + b. A) 11i + j B) i+ 16j 4) Let a =(3, 8), b = (-5,9). Find a +…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: 8. Given vector v = (4,-5) a) If we want to represent v in the form v= AB where A = (-2, -3), what…

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Q: Find the angle between the given vectors:  a) u=(3,4), v=(5,-12); = x1y1 +x2y2 b) u(1,1,1),…

A: Sol:- a) u=(3,4), v=(5,-12); <u,v> = x1y1 +x2y2 i.e a)  u=(3,4,0), v=(5,-12,0); <u,v> =…

Q: b) Given Ā = 3 i + 5 j + k, B = 4 i + 2j + 2 k, find %3D 1- Angle between A and B 2- Unit vector…

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Q: 12] Given vectors A = a, + 3a, and B = 5a, + 2a, - 6a, determine (a) JA + B| (b) SA - B (e) The…

A: For calculating A+B add respective components .  Component a along ay is equal to A.ay

Q: a) Find Ivl if v = -7i - 6j. Give exact value. b) Graph the vector v in the coordinate plane.

A: Solve the following

Q: 14. Given the three points 4(2,-1,2), B(-1,1,4), and C(4,3,-1), find: (a) the angle between RAB and…

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Q: a) Draw the vector 2 - 3 + W. b) Show how to use the parallelogram rule to add u and w

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Q: 10. For the following vectors: a) Find angles between all possible pairs and determine…

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Q: Vectors. v=i-2j+k, w= i +2j-3K a) Compute the length of V-W.

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Q: 27-j+4k sī +2j-2k.

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