Each unit on a trail map is equal to 1 foot. A hiker is at map coordinates (450, 700), and the park ranger station is northeast of the hiker. Which vector could represent the hiker's direct path to the ranger station? O (-500, 500) O (0, 500) O (500, 500) O (500, 0)

Q: If u = (-3, -1), then the unit vector in the direction of u is:

A: Let u→=x i+y jthen the  unit vector in the direction u→ is given byu→u→=xi+yjx2+y2

Q: Show that each pair of vectors is perpendicular.     -4i -3j and 6 i - 8j

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Q: What is the vector equation of the line team C must follow if they wish to meet team A at right…

A: To find the vector equation of the line team C must follow if they wish to meet the team A at Right…

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A: What is Unit Vector: Geometrical objects with magnitude and direction are called vectors. A starting…

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A: To find a unit vector in the direction of a given vector, divide the vector by its magnitude. like:…

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Q: n = (-16, -30)

A: A vector is a quantity or phenomenon that has two independent properties: magnitude and direction.…

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A: We have to draw a vector that starts from the origin (0,0) and goes to the point (-1,-5).

Q: Find the length of each vector.

A: Solution: Consider the given vectors are  (a) u = 0-20 The length of the vector a→ = a1a2a3  ⇒ ∥a→∥…

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Q: photo attached

A: The vector is given by

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Q: For the vector, find V v = (-5, 3) v= -V 4V = || -V, and 4V.

A: Given : 1)V=-5,32)V=2i+6j   To Find : 1) 12v2)  -v3)  4v

Q: Find the unit vector directed   from (2, -5, -2) toward (14, -5,3)   a. a = 0.3858, +0.923a, b…

A: Here we have to find a unit vector.

Q: Find the vector PP,: 5. P, P2 12 2 4 6. 4

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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…

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Q: Draw the vector V that goes from the origin to the given point. Then write V in componentform (a, b)…

A: The given vector is (5, -5)

Q: Graph each figure and its image along the given vector. List the coordinates of the image. 1.…

A: Note-  (As you asked multiple subparts , According to our guidelines we will answer only first 3…

Q: Two vectors are equivalent when they have the same ________ and the same ________.

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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: If ||v|| - 10 and 0 = 120°, find the component form of the vector. O O O O

A: We have to find vector components

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Q: Find a unit vector in the direction of u and in the direction opposite that of u. u = (-12, -5) (a)…

A: The solution is given as

Q: Write the given vector in terms of i and j. u- (0, -9)

A: given vectoru=(0,-9)

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A: The given vector is -2,5.

Q: Find the dot product of each pair of the given vectors. 1 4 -4 1 16

A: Given vectors areV1=51-1,V2=-141,V3=4-416we have to find V1.V2,V2.V3 and V2.V3

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Q: Find the direction of the resultant vector. (-25.6, 7.7) - [?]° (-11, -9.8) Round to the nearest…

A: topic - vectors

Q: Find the magnitude of the vectors represented 3 by (@5 0² 05 + !|

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Q: Rotate the vector (3,-2) 90° clockwise about the origin. {[ ? ],[ ]} Enter

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Q: Given vectors ā = (-1,-2),5 = 2,–1), find 4a-35. (10,5) (-10,-5) (-10,5) (10,-5)

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Q: Find the magnitude of the vector (9, 12).

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Q: What is the component form of the vector that translates the top triangle to the bottom triangle? 4…

A: Top trinagle vertices is given by (-2,4), (-2,1), (2,1)

Q: Draw the vector V that goes from the origin to the given point. Then write V in componentform (a, b)…

A: Let the initial point Pp1,p2 and the terminal point Qq1,q2.The component form of a vector…

Q: Given the vectors =(-3, 1) and n=(-2, 0), find 7m and m-n. Write your answers in component form. 7m…

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Q: Give the magnitude and direction for each vector. 7. (3,4) 8. (8/2,-8/2) 9. i+ /3 j 10. -3i - 5j

A: Given vectors are  7) 3,4=3i+4j8)82,-82=82i-82j9)i+3j10) -3i-5j

Q: Given vector A = 2а, + ба, За, and vector - B = – 3a, – 4a, – 5a,. Simplify the given mathematical…

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Q: Express each vector in terms of i, j, and k. a) [5, 6, -4] b) [0, –8, 7]

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Q: Find the component form of the resultant vector. 6) а-(-6, -12) g = (-11, -9) Find: -a + g a

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Q: Graph the vectors , , and below. The vectors may start at any point. 5+ 4- 3 -5 -4 -3 -2 -1 3. -1…

A: The answer is found in step-2

Q: Show that each pair of vectors is perpendicular.     -6i -5j and 10 i -  12 j

A: If two vectors A and B are perpendicular then its dot product A.B=0Dot product:i, j,k are the…

Q: Let a, b, and x denote vectors in R,,. (a) Simplify 3a + (5b -2a) + 2(b - a). (b) If 5x - a = 2(a +…

A: (a) Calculation: The simplified form of 3a+5b-2a+2b-a can be obtained as,…