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Description
Flashcards by Elexali Olayvar, updated more than 1 year ago
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Created by Elexali Olayvar
about 4 years ago
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| Question | Answer |
| Vector u has its initial point at (-7, 2) and its terminal point at (11, -5). Vector v has a direction opposite that of vector u, and its magnitude is three times the magnitude of u. What is the component form of vector v? A. v = <-54, 63> B. v = <-162, -63> C. v = <-54, 21> D. v = <-162, 21> | C. v = <-54, 21> |
| Vector u has its initial point at (17, 5) and its terminal point at (9, -12). Vector v has its initial point at (12, 4) and its terminal point at (3, -2). Find ||3u − 2v||. Round your answer to the nearest hundredth. A. 29.79 units B. 32.12 units C. 39.46 units D. 42.23 units | C. 39.46 units |
| Vector u has its initial point at (14, -6) and its terminal point at (-4, 7). Write the component form of u and find its magnitude. u = <__, ___>, and ||u|| ≈ ___ units. | <-18, 13> 22.2 |
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C |
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Write the component forms of vectors u and v, shown in the graph, and find v − 2u.
u = __
v = __
v − 2u = __
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<2,2> <0,-4> <4,0> |
| Vector u has a magnitude of 7 units and a direction angle of 330°. Vector v has magnitude of 8 units and a direction angle of 30°. What is the direction angle of their vector sum? A. 0° B. 2.20° C. 30° D. 357.80° | B. 2.20° |
| Vector u has a magnitude of 5 units, and vector v has a magnitude of 4 units. Which of these values are possible for the magnitude of u + v? 1 unit 9 units 11 units 13 units | 1 unit 9 units |
| Consider the vectors u = <-4, 7> and v = <11,-6>. u + v = <__, __> ||u + v|| ≈ ___units | 7, 1 7.07 |
| Vector u has a magnitude of 5 units and a direction angle of 75°, and vector v has a magnitude of 6 units and a direction angle of 210°. What is the component form of the vector u + v? A. < -3.95, 1.83> B. < -3.94, 1.89> C. < -3.90, 1.89> D. < -3.90, 1.83> | D. < -3.90, 1.83> |
| If w = <3.5, -6> and z = <-1.5, -4>, what is the resulting vector for 2w − z? A. <5, -2> B. <10, -4> C. <8.5, -8> D. <5.5, 12> | C. <8.5, -8> |
| Which components are a possible representation of vector u if ||-4u|| ≈ 14.42? A. <3, -2> B. <-1, 4> C. <2, 2> D. <-2, -4> | A. <3, -2> |
| Find the results of the given vector subtractions for u = <-8, 4> and v = <2, 7>. -u – v = ___ u – v = ___ v – u = ___ | 6,-11 -10,-3 10,3 |
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The resulting vector for w – z is <__, __>, and z – w is <__, __>.
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-7,-3 7,3 |
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C |
| If u = 3 − 4i and v = 3i + 6, what is u − v? A. -3 + 7i B. -3 − 7i C. 3 + 7i D. 3 − 7i | B. -3 − 7i |
| If (2 + 3i)2 + (2 − 3i)2 = a + bi, a = ___and b = __. | -10,0 |
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B |
| Convert (2, pi) to rectangular form. A. (2, 0) B. (-2, 0) C. (0, 2) D. (0, -2) | B. (-2, 0) |
| Convert x^2 + y^2 = 16 to polar form. A. r = 16 B. r = 4 C. θ = 16 D. θ = 4 | B. r = 4 |
| Convert (1, 1) to polar form. A. (2, 45°) B. (1, 45°) C. (2, 225°) D. (sqrt 2, 45°) | D. (sqrt 2, 45°) |
| Convert 3cis 180° to rectangular form. A. -3 B. -3i C. 3 D. 3i | A. -3 |
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D |
| Convert 5cis 270° to rectangular form. A. -5 B. -5i C. 5 D. 5i | B. -5i |
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Which graph represents the product of a complex number, z, and the negative real number -1/3 ?
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C |
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The graph represents two complex numbers, z1 and z2, as solid line vectors. Which points represent their complex conjugates?
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A, L |
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In the graph, z is a complex number represented as a vector from the origin. What is the product of z and its conjugate?
The product of the complex number z and its conjugate is ___
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5 |
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Which operations involving complex numbers have solutions represented by point A on the graph?
(4 + i) + 3(1 + i)
(4 + i) − 3(1 + i)
(4 + i) + (-3 − 3i)
(4 + i) + (3 − 3i)
(4 + i) − (3 + 3i)
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2nd 3rd 5th |
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