QUESTION 3 The unit vector that has same direction as the vector from the point A(-2, 5) to the point В3, -7) O. u = -5i - 12j V13 O None of these -5i+12j 169 5i- 12j u = 13

Q: . A line I through the point (5,3, -6) has direction cosines- equations of the line. V26' V26 and…

A: Here in this question we have to find the vector equation and parametric equation of a line passing…

Q: 13. (а) What is a unit vector? (b) and 6 = (2, –2,3). Determine the components of a unit vector that…

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Q: The vector v has initial point P = ( -1, -2) and terminal point Q = (3, 5). Write v in the ai + bj…

A: The initial point P and the terminal point Q  of a vector v are : P = -1,-2Q = 3, 5 To evaluate :…

Q: Let ú = (0, – 3, 2) and i = (5, 0, – 5). (a) Find i - v: i - v = (b) Find the angle 0 between the…

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Q: Question The vector PQ has initial point P(-5, –6) and position vector (12,9). What is the terminal…

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Q: (Boas, 3.4.17) Find three vectors (none of them parallel to a coordinate axis) which have lengths…

A: Let the three coordinates be A3,8, B3,4 and C7,4. Let us check that whether they form a right angled…

Q: 4. Find a vector that points in the opposite direction as ā =(-3,-14,2) with a magnitude of 32. 5.…

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Q: Find the magnitude of the projection of onto the vector

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Q: Find a unit vector that has the same direction as the given vector.

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Q: If A is (3,5,0), B is (-1,-2,7), and C(6,1,3) forms a triangle. Find the vector component of CB…

A: let a,b,c are position vector of point A,B,C respectively. Therefore a=3i+5j, b=-i-2j+7k c=6i+j+3k…

Q: Vectors F, 5, E, and u are shown on the coordinate plane below. y 6- -6 Select the correct column…

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Q: Vector u has a magnitude of 28 and a direction of 60 degrees. Vector v in component form is (c,…

A: Given that,

Q: Find the angle θ between the vectors u = and v= .

A: Given,            u = <-3/2, 0, √3/2> and             v= <-3,2,√3>.

Q: 7.) Let u = (3,1), v = (-8,4) and w = (-6,-2). Find the magnitude of each vector: a) -2(w+ 2u) 2 - -…

A: Here we find the magnitude vector.

Q: Vector u has a magnitude of 28 and a direction of 60 degrees. Vector v in component form is (c,…

A: A vector is a quantity that has both magnitude and direction. It can be also defined as the…

Q: The vector v has initial point P = ( - 1, 2) and terminal point Q = (3, - 4). Write v in the form ai…

A: Given that the vector “v” has initial points, P = (-1, 2)   Terminal points Q = (3, -4)

Q: Consider the vector v between (-2,-5, -3) and (5, 10,7). The vector vis The length of vis If the…

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Q: AB is the vector from the point (1, –2) to the point (5, 1). Find a unit vector in the opposite…

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Q: et the vector v have an initial point at (-6, -2) and a terminal point at (-6, 2). etermine the…

A: Finding the vector V

Q: 16. If vectors A and B are opposite vectors and the magnitude of A is 5, what is the magnitude of B…

A: Magnitude either positive or zero

Q: b) An object located at a point P is moved through the vector (1 2 4). If the finishing point of the…

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Q: 23. Find the angle between the vectors i = [-9,1, 3] and i = [0,2, – 5]. %3D

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Q: You know that vectors show not only magnitudes, but directions as well. Explain how vector functions…

A: we know that vectors show not only magnitudes, but direction as well. we have to explain how vector…

Q: 2 Quadrilateral QRST shown in the graph is translated along the vector (-6, 3) and then reflected…

A: Given quadrilateral is

Q: 1. Find a vector in the direction opposite to 0, −3, 4 and with magnitude 10.2. Find a unit vector…

A: The opposite vector of a vector is the vector having the same length as the original vector but in…

Q: Homework 10 1. Show that the vectors and are orthogonal (perpendicular). Two vectors & and y are…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Consider the two-dimensional vectors a and b. a = ,  b = Find the measure of the angle ? between a…

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Q: The Nector goes from P = (2,0) to Pq = (-2,3). The A goes from and t W, Q=(2,0) to Q= (5,-1). Dran…

A: Vector addition

Q: ind the angle between the vectors  [ 1 ]    And   [ -3 ] [ 3 ]             [ 2 ] [ 2 ]…

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Q: Vector u has a magnitude of 28 and a direction of 60 degrees. Vector v in component form is (c,…

A: Firstly we will use the angle and the magnitude to get the linear standard form. Moreover, we will…

Q: (a) Find a unit vector from the point P = (3, 2) and toward the point Q = (15,7). ū = (b) Find a…

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Q: The vector v has initial point P and terminal point Q. Write v in the form ai + bj; that is, find…

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Q: 5.3. Find the angle between these pairs of vectors: (a) (1, v3) and (1,0); (b) (2, 2, –1) and (2,…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 5. The vector from the origin to a point A is given as (6,-2,-4), and the unit vector directed from…

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Q: 1- v extends from (0,0) to (-3,2). Vector W extends from (0,0) to (-3,5). a- Find the magnitude of V…

A: This is a problem related to vector. Based on the general formula and concepts we will answer the…

Q: 1. If vectors u =(3, 3), v=( 13. -7), and 2w +3u-v=(4,-4) what is the coordinate of vector w? 2.…

A: For any vector x which is given as a,b, then a and b are the coordinates of the vector x. The…

Q: (5) Find the vector equation of the line that passes through the point (1,5) and is parallel to the…

A: Answer

Q: (a) Find a unit vector from the point P = (3, 2) and toward the point Q = (11, 17). 8/17,15/17 (b)…

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Q: Find a unit vector perpendicular to c = (3, 4, −7) and d = (−1, −1, 3)

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Q: 5. If A is (8, -7) and B is (5, 16), find a unit vector in the same direction as AB.

A: Given A(8,-7) and B(5,16)

Q: 1. If vectors u (3, 3), v-( 13. -7), and 2w +3u-v%3(4,-4) what is the coordinate of vector w?

A: Topic = Vector

Q: 6. Find the unit vector in the same direction as v. If u -(-12,8) and v-(-5,-12), find: O O O O…

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Q: If the line passes through the point (4,2,3) is parallel to the vector V = i +4j-2k : a) Find a…

A: We will find out all the required values.

Q: 5) FIND THE MAGNITUDE OF THE VECTOR THAT SATISFIES THE EQUATION 27-68 +3 = -2y, WHERE = x-2Z ANB B…

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Q: Given the same three points P (1, 4, 6), Q (-2, 5, -1)  and R (1,  -1, 1).  Find a vector equation…

A: We can find vector equation of the line segment from Q to R .

Q: 1. The unit vector in the same direction as (-5, 4) is 2. The unit vector oppositely directed to –i-…

A: Unit vector consists of only direction and magnitude of 1.

Q: Vectors v=[2,-1,9] and s=[3,-3/2, 27/2] are opposite orthogonal equivalent collinear

A: The cross product of the given vector is: v×u=ijk2-193-32272        =i-272+272-j27-27+(-3+3)…

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the eract answers in terms of i, j…

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Q: b) Find two unit vectors that are perpendicular to both vectors i = (2,0,–1) and ỹ = (-3,–4,1). Are…

A: The cross product of two vector is perpendicular to both of the vectors. The cross product of the…

Q: Notice that vector v shows a direct path from the initial 6. point (0,0) to the terminal point…

A: See this solution in below