0. (a) The non-zero vectors a, b and c are such that axb exa. Given that b -e, find a linear relationship between a, b and c. (b) The variable vector v satisfies the equation vx(i-3k) 2j. Find the set of vectors v and fully describe this set geometrically. [(b) v = HER]

Q: [P] 3 as a sum of one vector from x-axis and one from the y-axis. 8. 3. Write the vector u =

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Q: Q1/For the figure bellow: a- Write all vectors in vector pair form. i.e. b= (2,1). b- Write all…

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Q: Let w be a vector with initial point (1,5) and terminal point (-6, –5). Write w as a linear…

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Q: Write the vector equation of the line defined by the following points. (25,17,42)and(-16, 12, 25)

A: Answer is given below :-Explanation:To find the vector equation of the line passing through two…

Q: 2. Let G and H be the points G (4, 5) and H(11, -8). 2a Find the vector HG in component form: HG 4…

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Q: Q1: suppose the middle of each side of the triangle is a vector from the vertex (1,2,3), (3,2,1),…

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Q: Describe the graph of the equation: r = 4ri – 8j + (1 + 2t)k. [Choose the correct answer.]

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Q: Sketch a graph of each vector. 11) b=(-2V2,-1) 12) RS where R= (-6, 1) S= (-8,-10)

A: Solution (11.)

Q: 02. Given the vectors : A = (3.-1, 2), B = (0, 1, 1) and C- (2, 2,-1), find: the angles between the…

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Q: Determine whether the lines L₁ and L2 given by the vector equations are parallel, perpendicular, or…

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Q: Determine whether the lines L1 and L2 given by the vector equations are parallel, perpendicular, or…

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Q: Let L be the line 8x + 2 in R?. Find vectors a and b so that v a + tb with t ER is also a correct…

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Q: Use the vectors v=3i+j-2k and w=-3i+2j-k to find each expression. ||v - w ||

A: Given vectors are: v=3i+j-2kw=-3i+2j-k We have to find v-w.

Q: Your answer is correct. Suppose that vi - (2.4, 0, 7), v2 - (6,-3. 8. 3) and va - (-4,0,4, 5). Is…

A: The solution is given as

Q: Determine a so that the vector u = {6,3} is a linear combination u = av+bw of vectors v = {-3, 3}, w…

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Q: 5. Name each vector then write the vector in component form

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Q: Consider the vestun . il 1:= V2: V3: and u where a E R. (a) For which values of a is the span(v1,…

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Q: Describe the graph of the equation. r = (6 – 21) i+ 10rj O It is a line in 2-space through the point…

A: Solution :-

Q: 3. Given two points P(4,0,2) and Q(2,-1,3), find the equations of the vector PQ, the line passing…

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