If a and b denote the vectors OA and OB, indicate on the same diagram the vectors OC and OD denoted by a+ b and a - b. Draw on another diagram the vector OE denoted by a +2b.

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

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Q: Given vectors v = (3, -1) and w = 1 (-4, 6), find 2v - 2W {8, -5) (4, -5) (-5, 4) (-8, 5) (-8, -5)

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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: For the vector a,b,c ∈ IR3 a+b+c=0 and ===1 then ?

A: We will first assume a=(a_1,a_2,a_3),b=(b_1,b_2,b_3) and c=(c_1,c_2,c_3).Now will will use…

Q: If vectors have the same magnitude and direction, then they are_____.

A: We have to fill in the blanks: If vectors have the same magnitude and direction, then they are…

Q: If A = 4a, - 6a, + a, and B = 2a, + 5a,, find: (a) A B +2|B (b) a unit vector perpendicular to both…

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Q: Draw the vector V that goes from the origin to the given point. Then write V in terms ofthe unit…

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

Q: Give two vectors A=4i+3j, B=5i-2j Find its values and the direction of vector C, which is 2A-B

A: Vector addition

Q: If P1 = (-2, 3), P2 = (-1, 5), and v is the vector from P1 to P2, a. Write v in terms of i and j. b.…

A: Given: P1=-2,3, P2=-1,5

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

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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: Find the requested vector in R2 where A = (-3, 6), B = (8, –6) and C = (7,4). -2AB + 7CB = help…

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

A: Two vectors are equivalent when they have the same magnitude and the same direction. Magnitude of a…

Q: Given that - (1, 2, 3) and - (4. 0, – 4) find the vector where %3!

A: In this question we have to find the vector z.

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: Given the points A: (-4,6,2) and B: (-1,5,-3), find the vector ū AB

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Q: Match the vectors p, q, 7, s, and t with one of the combinations of the u and i vectors from the…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: For two vectors a and b, V

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Q: If a and b are two non-parallel vectors and the position vectors of P, Q and R are a + 2b, 1/2a +…

A: answer

Q: The position vectors of the points A and B are given by a = 2i+3j and b = 4i+j respectively. Write…

A: Given that: Position vectors of A and B are:        a=2i+3j        b=4i+j

Q: If the the femur bz is represented by the vector , find a vector b, that is perpendicular to the…

A: We have  Initial point =(-2,5) Terminal Point =(3,8) Now, Terminal Point-Initial…

Q: If a = 31 - j-4k, b= - 2i + 4j- 3k and c =i+ 2j-k. Find unit vector parallel to 3 a -2 b +4 c Find…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Consider the points A=(1,2,3), B=(-2,1,0), and C=(0,3,1). Adding the vectors, find 2AB+3AC.

A: To find 2AB +3 AC

Q: Two vectors are defined as A = ax + 2ay + 3az and B = 3ax + 2ay -7az . Which of the following vector…

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Q: Draw the vectors in standard position in R2 with their tails at the point (2, -3).

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Q: If A=(4,3,0), B=(2,3,4) and C= (5,6,2) find the dot product and find the angle between the vectors .

A: A=4, 3, 0B=2, 3, 4C=5, 6, 2 REMEMBER A·B=ABCosθ⇒θ=Cos-1A·BAB

Q: If A=(4,3,0), B=(2,3,4) and C= (5,6,2) find the dot product and find the angle between the vectors.

A: Dot product defined as  AB =|A| |B| cos x x is angle between A and B

Q: Determine the vector 8a – 7b if a = -3i + 2j – 4k and b = 5i + 6j + 2k. 8a – 7b help (vectors)

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Q: Graph the vector 3 – 2i and state its argument (or direction vector) in de

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Q: If v = 7i + 10j, find the vector 8v.

A: Given: v = 7i + 10j To find: The vector 8v.

Q: If vector u=2:1+2:/ and vector V =5./+4/, simplify each of the following, writing your final answer…

A: Given:    u = 2i + 2j    v = 5i + 4j

Q: If the vectors a and b are such that |a| |b| = -5, and a b = 10, then the angle between the two…

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Q: The vectors a (4, -10,8) is perpendicular to the vector b (8,-8, -14). Select one: True False

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Q: If two vectors a+b and a-b are parallel, then a and b are parallel. Select one: O True O False

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Q: 1. If a and b are two non-parallel vectors and the position vectors of P, Q and R are 3. +-b and Aa…

A: We have to find the value of lambda by using the data given above

Q: Given the two 3-D vectors a=[-3, 4, -6] and b=[-1, 2, -1], find the dot product and angle (degrees)…

A: Consider the given 3D vectors.

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

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Q: The angle between vector A =4ax+5ay+6az and B = 3ax -2ay + 4az is * O 68.75 degrees O 56.62 degrees…

A: Angle between two vectors

Q: For two vectors a and b, we always have a-b|<|a|-|b|. Select one: O True O False

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Q: If two vectors have the same magnitude, then they are equal.

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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: Match the vectors p, q, r, s, and t with one of the combinations of the u and v vectors from the…

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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: For the given vectors a and b, find the cross product a × b. a = (1, 0, -3), b =(3, 4, 0) axb=

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Q: Let a. b, and c be three-dimensional vectors. Identify whether the expression a- (b x c) will result…

A: We can solve this as follows:

Q: If ả = 2ỉ + 33, b = j – ỉ and ở = 33 are vectors in 2D, then determine the of a + 3b + c

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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.