4) -16i + 30j

Q: Write the vector v in the form ai+bj, where v has the given magnitude and direction angle. Give your…

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Q: ) Copy the vectors in the figure and use them to draw the following vectors. a) a + b…

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Q: Using the vectors given below, fin d u v. u = 6i – 3j and v = -15i- 10j

A: Use the formula for the dot product between two vectors and simplify.

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 two vectors; A = 21 + 3j – 2k B = 31– 4j – 6k Find a vector that is perpendicular to both…

A: Given query is to find the perpendicular vector to the given vectors.

Q: Find the magnitude of the vector (4, –2). Write your answer in simplified radical form.

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Q: Find the magnitude of the vector (3, –6). Write your answer in simplified radical form.

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Q: Find the vector -4u+2w given the vectors u = -8j and w =-6i+5j. Write your answer in the form ai+bj.…

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Q: / Answerr true or Satse VAngleo- I meet makes the vectors AB 6

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Q: Which property of vectors is incorrect? a. â× b = -b ×â xã C. a. (b + c) = a + (b + c) b. (a + b) +…

A: I am attaching image so that you understand each and every step.

Q: 7) Add the given vectors by components. Remember to give both the magnitude and direction of the…

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Q: ABCD is a parallelogram. The diagonals of the parallelogram intersect at O. OÁ = a and OB = b (a)…

A: Note that,

Q: Teacher : Mr. Kang Physics • Construct the component vectors (RH, Ry) for each vector below and find…

A: According to our guidelines, In case of questions with multiple subparts we are supposed to answer…

Q: A) Knowing that A¨ = 2i+mj+k & B¯ =5i + j+4k value of m then find A x B are perpendicular vectors.…

A: Given that:     A=2i+mj+kB=5i+j+4k

Q: 8. Determine if the given vectors below span R'. 5

A: As per Bartleby guidelines we're supported to answer only one question when two or more different…

Q: What is the area of the parallelogram formed using the vectors below as 2 sides of the…

A: First we will find out the vectors from the graphs ,

Q: The question says: "Find the magnitude and direction (in degrees) of the vector" V= 40 , 9

A: We use the magnitude formula with a=40 and b=9Answer: Magnitude = 41

Q: Is the statement below true? Explain, and include a diagram as part of the explanation. If |AB| = |Y…

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Q: Find a and B that solve the vector equation: 26 a +8 38

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Q: A) Knowing that A¨ = 2i+mj+k & B¯ =5i + j+4k are perpendicular vectors. Find the value of m then…

A: (A) Two vectors A→ and B→ are perpendicular if and only if A→.B→ = 0 Here A→ = 2i+mj+kB→ = 5i+j+4k…

Q: Find the magnitude of the vector ū = (2,3,7) Select one: 6. 42 62 42 62

A: Magnitude of vector u=ai+bj+ck is |u|=sqrt(a^2+b^2+c^2)

Q: Write the given vector in terms of i and j. u- (1, 6) Need Help? Read It Wateh it

A: The given vector u=1,6

Q: Show answer clearly.

A: Given a vector v in the form with

Q: 5. %23 34 24 (a) Write the vector in component form (v1, v2, v3). (b) Write the vector in terms of…

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Q: Given two vectors A = 2i + 3j- 2k B = 3i- 4j- 6k Determine the vector that defines the direction of…

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Q: SHORT ANSWER. Use the vectors v, u, w, and z to draw the indicated vector. 11) u + z

A: We have given some vectors, we have to discuss about the direction of addition and subtraction of…

Q: Given two vectors A = 21 + 3j - 2k B= 31- 4j – 6k Determine the vector that defines the direction of…

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Q: Add the given vectors by components. Remember to give both the magnitude and direction of the…

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Q: For what values of a and b are the vectors ; equal?

A: a-b2,  4a+b

Q: Ex Find the angle o in the triangle ABC determined by the vectors ACG,0) 6 B(3,5)i(5,2)

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Q: Explain whether the statement below is true. Include a diagram as part of the explanation. If |AB| =…

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Q: Find the vector -3u+4w given the vectors u = -i-4j and w =-2i+5j. Write your answer in the form…

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Q: Write the vector v in the form ai+bj​, given its magnitude v and the angle α it makes with the…

A: Given,  ||v|| = 6, α = 135°

Q: 3) Which two vectors are perpendicular? a = [-10, -2, -4] 6= [3,-3, 6] = [5, 1, -2]

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Q: 5a) Which of the following vectors are unit vectors? Justify your answers. *-[243] b) Are these…

A: A vector that has a magnitude of 1 is called unit vector. For a given vector v→= x,y,z magnitude is,…

Q: Attached is a picture of three vectors. For the three vectors, which statement is true? A + C = B A…

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Q: o What is the height of the building? 3. Perform the following operations on the vectors u = (-3, 4)…

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Q: Given the vectors shown, what is the component form of vector b + c? a = (13,15) b = -2a C = (а)…

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Q: Find the magnitude of the vector (2, 2). Write your answer in simplified radical form. : o/o (0.0)

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Q: 19. Determine the angle between the two vectors. a. 128.25 degrees c. 51.75 degrees b. 57.75 degrees…

A: A→ = 6 i^ - 2 j^ +3 k^ in.B→ = -14 i^ - 2 j^ +5 k^ in.

Q: Write the vector v in the form ai + bj, given its magnitude |v and the angle a it makes with the…

A: Given  v=18 ,α=120°

Q: 40. Consider the vectors Vị, V2, V3, and b in R², shown in the figure. Does the equation x¡Vj +x2V2…

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Q: Given: 7 = 47 +53,w = -37 +73 3 i + Find: a. 2 v + 3 w b. unit vector of 7

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Q: Use the component method to add the vectors A and B shown in the figure. The length of B is 2.55 m…

A: Suppose we have two vectors A→ and B→ then its addition in component method is given by A→ + B→ =…

Q: For what values of a, b, and c are the vectors; Equal?

A: Given: 2a-ba-2b6, -22a+b-2c

Q: 3. Given the vectors a, b, and c, show how to construct the following vectors using the triangle law…

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Q: Using the diagram below, write AG using at least 2 other vectors. Use only AB, AD, and AE in your…

A: From the given diagram we can see that- AD || BC and AE || CG

Q: QI: If the vectors a and b are perpendicular, find the value of 2. d = 31 + 4j – 2k b = -2i + 3j +…

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Q: Solve the problem. Which of the following vectors is parallel to v = 9i + 5j? 15 W = - 25 3. W = 15…

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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.