10 Select the correct answer. If vector a = <1.5, -3> and vector b = <-2.25, -5>, what is the resulting vector for 2b - a? O A. <7.5, 4> O B. <-6, -7> OC. <0.75, 2> O D. <3, -7>

Q: Find the value of aa in the vector →v=⟨a,b⟩v→=⟨a,b⟩ if b=15 and ||→v||=39|| v→ is in Quadrant I a=

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Q: Q7) If -) -) -() a) Using these vectors, Draw diagrams to represent: 1) a +b 2) с - Ь 3) 3c -a b)…

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Q: Choose the vector has a magnitude of 6 and a direction of 0 = 150°. O(-3,3/3) O (3.-343)

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Q: What is the angle between the two given vectors?   A=4i + 12 j + 6k   B=24i -8j +6k

A: Given,            The two vectors are A→=4i+12j+6k and B→=24i-8j+6kWe know that,            The…

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: Find the vector v with length 2 and the same direction asthe vector u =(=6,5,3). a) 12 10 b) 12 10…

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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: A If the magnitude of vector A is multiplied by 2, which of the following vectors would be the…

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Q: or what value of t , if any, is the vector (2t, 1) parallel to the vector (4, -1) t =-2 DA. t = 2…

A: Given that vector 2t,1 paralle to the vector 4,-1find t

Q: Determine the vector of magnitude 7 that has the opposite direction of ū = -4î + 13ĵ – 16k.

A: We can find the required vector as below

Q: Find the vector v of magnitude 8 in the direction ⟨6, −3, 2⟩.

A: Given: The magnitude of vector v is  Let the vector u be:

Q: B. For vectors u = and v = Find 1. 4u – 2v 2. A vector of length 20 in opposite direction of 4u – 2v

A: For the vectors u = ( 2, 0, -3 ) and v = ( 0, 1, -2 ) we need to answer the following questions.

Q: А (, 8) В (4, -12) С (-9, -1) D (-8, -8) Е (1,-3) F (3, 5 Ann 7. Identify the unit vector of EF. UUL…

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Q: 14. Draw the vector V that goes from the origin to the given point. Then write V in component form…

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Q: Hi, any help on this problem would be greatly appreciated. Thank you!

A: Magnitude of the vector is given by

Q: find the given vector. ev, where v = (1, 1, 2)

A: Consider the provided vector, v=1,1,2 Find the given vector. A unit vector just means a vector whose…

Q: Find the vector whose magnitude is 5 and which is in the direction of the vector 4i – 3j + k. Q.2…

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Q: Find the vector v that has a magnitude of 10 and a direction oppo- site that of the unit vector…

A: Let u be the required vector and given vector be v=35i-45k.

Q: a) Find a vector that is perpendicular to both w = ỉ – 3+ 3k and i =7+23.

A: As per our guidelines, we can answer only one question. So, here I am answering for a) please repost…

Q: Find the coordinate vector v for A relative to S = {A1,A2A3A4). A = ; Aj = A2 = Az = A4 = v =( i

A: we have to find

Q: Find the unit vector and noim of V= 31 +5; -9k .

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Q: Find a unit vector that has the same direction as the given vector. -5i + 7j

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Q: Find the given vector : Unit vector e making an angle of 4π/7 with the x-axis

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Q: 47. Describe in words the vector shown in the diagram. 150 km/h 48. Draw the vector 75 m N70°W.

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Q: Find the vector of magnitude 14 in the direction opposite that of the vector v = 4i + 5j + 5k. This…

A: we find the vector of magnitude 14 in the direction opposite that of the vector v=4i+5j+5k

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: Find the vector with the given magnitude and in the same direction as " M = 4; u = (-8,15) . %3D

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Q: 5) Find a unit vector that has opposite direction of the vector i - 2j + 4k.

A: First change direction of vector then find magnitude and write unit vector

Q: 2. Find the unique unit vector that bisects the angle between ī = 31 + 43 and w = 51 – 127.

A: The angle bisector is determined by the formula,

Q: a Find a vector of magnitude 5 that is in the opposite direction of a

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Q: Find a unit vector in the direction of, a) й3 (-4,-3) b) й 3 (12, -5)

A: We have to find

Q: Determine the resulting vector when a = (6, –4) is rotated 60° clockwise and increased in size by a…

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Q: Choose the vector has a magnitude of 6 and a direction of 0 = 150°. ㅇ(-38.3) ㅇ-3.345) O (3-33) O…

A: We have to find the vector that has a magnitude of 6 and a direction of θ=150°.

Q: -1 parallel to the vector (4, -1) ? For what value of t,if any, is the vector Not AO t=- 16 BO t =…

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Q: 7 Part (b) For each vector q and r, determine if the vector is in the span of the vectors w,, W,,…

A: Given vectors are  w1=1-124w2=230-2, w3=3-516, w4=1630 q=-893-4,r= -76-87

Q: If a- b = 30, ||a|| = 5, and the angle between the vectors a and b is 30°, what is the magnitude of…

A: Given that a→·b→=30, ||a→||=5 and angle between the vector a→ and b→ is 30°.

Q: 2 Given the three vectors A = 2i +j, B = i+ k, and C = 4j, find the following (a) A. (B + C) and (A…

A: Given vectors: A=2i+j+0kB=i+0j+kC=0i+4j+0k

Q: Find a vector and unit vector perpendicular to each of the vector à + B and à – B , where à = ai +…

A: We have A→=ai+4j+bk  and B→=6k+i+2j Here a=0 and b=5 So, we have  A→=0i+4j+5k  and B→=i+2j+6k Now,…

Q: If A is a vector representing 50 km/h northeast, what is A ? c. 30 km/h northwest a. 30 km/h…

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

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Q: Find the value of a in the vector i = (a, b) if b = 48 and ||ū|| = 50 %3D v is in Quadrant I

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Q: Which vector is not orthogonal to ū=? a. C. b. d.

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Q: 2. Find the angle between the following two vectors. and

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Q: Find the direction angles of the vector. V = -3i + 2j - 4k

A: The given vector is v=-3i+2j-4k

Q: Find the unit vector of 4a where a3(4sin 0,-4cos 0,0).

A: It is given that a→=4sin θ ,-4cos θ ,0.

Q: 6. Write the vector v in the form aî + bj , given its magnitude and direction. a. Il해 = 500, a =…

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