4. Determine the resultant of each combination of vectors. a. 25 km/h north and 81 km/h east

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: 1- Given the vectors A=[2, 3, -5], B=[8, -4, 3], and C=[-6, -2, 0], simplify or evaluate the…

A: We have to evaluate the following

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: 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: Determine whether given vectors spans in 3 R ? S = {(2, -1,4) , (3, -3,5) ,( 1,1,3 ) }

A: Given- S=2,1,4,3,-3,5,1,1,3 To Determine- Whether the given vectors span in R3 or not. Concept Used-…

Q: Find the length of each vector.

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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: Use the accompanying figure to write each vector listed in Exer- cises 7 and 8 as a linear…

A: Given - Use the accompanying figure to write each vector listed in Exercise 8 as a linear…

Q: Suppose a,b and c are vectors then a.(bxc)= -(a.(cxb)) 0 صواب İhi O

A: We know that if a , b and c are vectors then

Q: Given vectors ū and v , draw 2ü – v .

A: We have to draw given vector.

Q: If two vectors ? = 4? + 6? − 8? and ? = 6? − 8? + 4? are added together describe the characteristics…

A: If two vectors ? = 4i+ 6j- 8k and ? = 6? − 8? + 4? ar

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

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Q: a) pair (4,-6) & (-6,9) b) pair (2,-3,1) & (4,-6,3) c) pair (6,-5,1) & (3,4,2)

A: To determine whether the following pairs of vectors are parallel, perpendicular or neither. a pair…

Q: 3. Add the vectors shown.

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Q: 19. Which of the vectors (A)–(C) in Figure 22 is equivalent to v – w? (A) (B) (C) FIGURE 22

A: The vectors substraction: (v-w)

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: Determine the dot product uv, if |||| = 9 and |||| = the angle between the two ㅠ vectors is = 3…

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Q: Given the following vectors: u=(1, 2,-4) and v=(2, 3, 5) Find:

A: (a) The angle between the two vectors u and v is computed by the following formula. cosθ=u·v|u||v|…

Q: Given the two vector combinations a + 4b = 4i + 4j + 6k, a − 2b = i + 7j + 3k, find a and b.

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Q: If a = (4, 3, 1, – 2), ß =(-2, 1; 2, 3) tween a and ß. are two vectors in V(R), find the angle be-

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Q: 4. Given a = 5 m and b= 7 m, and the angle between the vectors ā and b is 102°, determine a +b,…

A: As we know that the expression for a→+b→ a→+b→=a→2+b→2+2a→b→cosθ Where; θ is the angle between…

Q: n. 3.

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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: Given the three vectors A = (3, 1, 1), B = (2, -1, 1), C = (0, 1, 2), find (AxB)xC %3D

A: The vector can be multiplied using the scalar product or dot product and vector product or cross…

Q: Which of the following vectors represent a + b, if a and b are given as below? b a a) b) c)

A: Given : Vector a and vector b is given

Q: Find the sum of the given vectors. a(-2,5) b (7,-2) a+b=?

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Q: Determine whether given vectors spans in R? S={(2,-1,4).(3,–3,5).(1.1.3)}

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Q: 4. ABCD is a parallelogram, and E is the intersection point of the diagonals AC and BD. Name a…

A: It is given that, ABCD is a parallelogram and E is the point of intersection of diagonals. To find:…

Q: Find the components and length of the following vectors:(a) i − 3j

A: The given vector is i-3jwe have to find component and length of the vector

Q: A B

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Q: Compute (m +n)´ if m and n are two unit vectors and the angle between them 30°.

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Q: Given the following vectors: a. Draw a + b b. Draw a - b C. Draw -3a

A: (a).             a+b…

Q: Given the vectors à = and b =

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Q: Given the vectors a = (−2, −5, −3) and b = (1, −4, 2), find 1.  5a − 1/3 b. 2. The length of a.

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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: For what values of a are the vectors (4, -2, a) and (9, a², a) orthogonal? O -6 and 6 0 O -2√3 and…

A: Equate dot product of two vectors to zero

Q: 4. If d and | = v3, determine (27 – 38)- ( +28). 6 are unit vectors and

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Q: Given three vectors A, B, and C as follows, A = a, + a,2 – a 3, В 3 — а,4 + а,, С 3D а,5 — а,2, find…

A: Please see the explanation below

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

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Q: Write the given vector in terms of i and j. ? = (1, 3)

A: (a,b) is written as : ai+bj

Q: 3. If A is a vector representing 50 km/h northeast, what is 3 A ? c. 30 km/h northwest d. 30 km/h…

A: Given problem:- If A is a vector representing 50 km/h northeast, what is (3/5)A ? a. 30 km/h…

Q: and the magnitude of the given vector. (-4, 4, 7)

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Q: Given vectors d, a, and b. If d=ax b, then a d= Oaxaeb 1ax() b) O(a . b) xb

A: Given:d=a×ba∘d=

Q: Let a and b be vectors in R". Given that a=b =: 3 and (a, b)= Find a-b|. O D. 5 OB. 17 OE. None in…

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Q: Given the three vectors A, B, and D, show that A (B +D) = (A · B) + (A · D).

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Q: Pls help ASAP. Pls show all work and steps.

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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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