graph with two vectors shown on it. Add them, ar d position. |10 7

Q: If a and b denote the vectors OA and OB, indicate on the same diagram the vectors OC and OD denoted…

A: As first question and second question are independent so I am solving only first question.If you…

Q: Two vectors, a and b, are unit vectors with an angle of 60 degrees between them (when tail-to-tail).…

A: We will use the dot product of vectors to find the value of m

Q: The following are the vertices of a triangle A(4, 0, -1), B(-4, -1, 0), and C(3, 1, 1), find: vector…

A: To find the given values:-

Q: Given vectors u and v in the diagram below, shade in all linear combinations cu + dv for (a) -1 1…

A: (a) Shade the linear combination.

Q: Given the points A: (2,4,-3) and B: (2,-3,5), find the vector ā AB

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Q: The vectors a, b and c have been graphed below. Plot the result of a + b+c on the same axes. 3.

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Q: a) Find the vector that is parallel to the tanget to the circle x2 +y? = 100 at the point (3,4).

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Q: For what values of b are the given vectors o , (smallest value)

A: Let m→=-12, b,3 and n→=b, b2,b  If m→ and n→ are orthogonal.

Q: Vectors a and b have lengths 2. If Ja + b | = V7, determine the exact value of Ja – b|.

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Q: Consider a triangle whose vertices are A(2, -3, 4), B(1, 0, -1), and C(3, 1, 2). a. Find vector AB +…

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Q: Given vectors a= (2, 1) and b= (−3, 5), find −2a+4b. Write your answer in component form

A: To find the component form of a vector

Q: Which vector has an x-component with a length of 4? -5 A. C B. b C. d O D. a PREVIOUS 19 10

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Q: ABCD is a parallelogram. The diagonals of the parallelogram intersect at O. OA→=a  and   OB→=b…

A: Consider a parallelogram ABCD as follows.

Q: . Given a and b are unit vectors, and the angle between them is 60deg , determine the value of |2a −…

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Q: Given vectors a = (1,2),5= 2,-1), find 4a-35. (-2,-11) (2,-11) (-2,11) (2,11)

A: Given vectors are:- Vector a =<1,2> vector b =<2,-1> Find :- 4a-3b

Q: Pls help

A: Two vectors are equal iff has same direction and magnitude

Q: Given two vectors u and v that form an angle of 60° (when joined tail to tail) and given that | V| =…

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Q: For the vectors a = (3, 12) and b = (6, 9), find orthab. orthąb =

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Q: 16. 7 -7 – 37 – k

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Q: given the following points: A(3,-2,0) B (4,5,2) C (-3,2,1) Determine unit vector RAB

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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: GIVEN vectors 9. and 4 95, ind . Provide your answer belowe

A: Vectors u=<9,2>  and v=<4,-9> Given two vectors and find the cross product of both…

Q: Which of the vectors below is the sum of vectors a and b, shown here? O A. В. С. D. + PREVIOUS

A: Topic:- vector addition

Q: .If A = 2a, + a, - 3a, and B = 4ax + 2a, – 3a, are vectors, find (a) A· B (b) Á xB (c) Angle between…

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Q: An angle between vectors p and has a measure of 120°. If p =8 and |7 8, calculate 戸(p- F).

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Q: Given points P(4,2,-1), Q(2,-4,-1), T(4,3,4) forms the triangle. Find the unit vector that bisects…

A: We will first find the unit vectors along line QP & QT. So that the resultant vector which is…

Q: If à = 2a, + 2a,y – a, and B = 3a, + 2a, – 6a, are vectors, find (a) Ả ·Ē (b) Ả × B (c) Angle…

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Q: The following are the vertices of a triangle A(4, 0, -1), B(-4, -1, 0), and C(3, 1, 1), find: vector…

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Q: An angle between vectors p and ĩ has a measure of 120°. If |p| = 8 and |7| = 8, calculate p(p – 7).

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Q: Use the diagram to the right to answer questions 5 and 6. 5. Which of the following are equal…

A: We have to check

Q: 348, 7.) x and y are vectors between them and 2, respectively, with an angle of 120° of 3x + 27. the…

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Q: Given points: A = (4, 9, 1) B = (-2, 6, 3) C = (6, 3, -2) Using angles between located vectors,…

A: the given vertices are if the dot product of any two vectors is zero then we can say that A, B, and…

Q: Given vectors u = (8,-6) and v = (-3,-3), find the sum u +v and write the result in component form.…

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Q: Which of the following vectors is shown in the graph below? ++ O f2.1.4) O 2-1,-4)

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Q: A boat sails 20km N20°E and then turns and travels 12 km S30°E. Determine the angle between the…

A: N 20 E means 20 degrees from the North to the direction of East. S 30 E means 30 degrees from the…

Q: Which of the vectors in the graph below is the negative of the vector v? a A. C В. a С. d D. b 10 to…

A: The given vector is

Q: Given three vectors A(6, 2, -3), B(-2, 3, 0), and C(-4, 6, 5). Find the unit vector bisecting the…

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Q: - Find the lengths of triangle ABC using vectors, knowing that: A (3,1), B (6,4), C (-1,3)

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Given vectors a = (1,2, –1), b = (2,0,-1), and c = (2,2,1): a) What is 2ä – 35 + č? b) What is the…

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Q: Given the vectors i = 10i – 5j and i = 9i + j, perform the operations below. 8- i- 5- = Calculator…

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Q: Three vectors A, B, and C are related as follows: AB = 24180°, A + C= -5 + 15i, and C is the…

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Q: Given vector A(5, 2, 2), B(1, 5, 6) and (6, 3, 1) as the plane triangle. Find the unit vector that…

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Q: 2. Given vectors and with || = 8 and || = 13 and an angle of 50° between them. a) Find |ỹ - ū

A: Let us solve the given vector problem in the next step.

Q: Find the component form of the vector v if ||v|| = 5 and when drawn in the standard position v ties…

A: Given: ||v|| = 5  θ=45∘

Q: Given the following points: P(5,7,8), Q(-1,4,2) and R(2,5,-1) forms a triangle. Find the unit vector…

A: This is a problem of vector algebra.

Q: Given the vectors m = (-3, 6) and n = (0, 7), find 3m and m-n. Write your answers in Component form.…

A: Given :  m = < - 3 , 6 >  n = < 0 , 7 >  Find :  3 m and m - n

Q: Find the magnitude of each of these vectors a 34+ 4 e 34- e Si+ 12 E -+ S f 44+ 7)

A: Magnitude of vector x→=ai^+bj^ is given by x→=a2+b2

Q: 2. Determine a•5 for each of the following a) å = (7, -3,5)andb = (-5,11, -2) 3. Determine the angle…

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Q: Given the vectors p = [-2,3,5] and a = [4,-1,4], find a) p q b) the angle between p and a

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Q: Refer to the diagram below. (a) Use the vectors shown to sketch a + b, a -b, and - a. You should…

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Q: 10. Given vectors a = (3,-5) and b = (-2, 7), find 4a - 5b

A: Given a=(3,-5) and b=(-2,7)Then find 4a-5b

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.