1. Give four (4) possible ways to denote the direction of the vector below. N 120°

Q: ex/IF Ā=i-j+3k and B =2 i+6j+3K Find the vector pricâ+B) and Prj (À-B).

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Q: 4. Let u = and w = . Find the resultant vector 4u + 5w.

A: We will find the resultant vector.

Q: 1. Find the angle between the following two vectors. and

A: The given vectors,  8,-5 and -9,-7

Q: Given the points P(-3, 4) and Q(-1, 5), express the vector PQ in terms of i and j.

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Q: 3. In the above problem, what is, ĮD|, the magnitude of vector Ď = Ä – B ? (A) 1.0 cm (B) 1.1 cm (C)…

A: Since you have posted multiple question in this question so I have solved first question as per our…

Q: 3. [7.3] Determine the dot product between the two vectors below if there are 135° between them as…

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Q: a vectors p = (2) and t = (,).

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Q: 8 Find a vector of length: (2) (+) 3 a 10 units which is perpendicular to (a -4 b 3/2 units which is…

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Q: Find the magnitude of each of the following vectors.     (0,5)

A: If v=ai+bj=a,b is any vector then magnitude of v is v=a2+b2

Q: Given that a = (1,1) and b = (-1,0). Find a vector in the same direction as but a+b five times as…

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Q: -Let 1+t and tet? be vectors in P. write the vector plt) = S+ St+2t² as the lineor combination of P,…

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Q: Find cos(0) if 0 is the angle between the vectors u= 2i + 2j – k and v = 3i + 4k

A: Consider the two vectors. u=2i+2j-k and v=3i+4k It is given that θ is the angle between the vectors.…

Q: For what value of t, if any, is the vector (1, 4t) parallel to the vector (4, - 1) ? Not O A. 1 O B.…

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Q: for what value of Ca) will the Vector ū = -41-8)4ak,ū =ei+4j-5k are parallel

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Q: Find the magnitude of vector u = 4i - 3j - 5k and simplify. O 2v3 O 3v2 None of these. 4 O 5/2

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Q: B- For what values of a1 are the vectors [a1,4,3] and [3,-2,12] are 1) Orthogonal? 2) Parallel? 3)…

A: Angle between two vector

Q: EX/ Find The normal vector to A = 2i-3j+4K, B =i-2j+ 5K %3D ĀxB =Ñ =1? ĀXB=N -3 4 = -7i-6j-K %3D - 2…

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Q: 3) Find the components of the vector i that has a magnitude of |0| = 9750N and direction 0 = 243.0°-…

A: Find the components of vector v. |V| = 9750 θ= 243.0o

Q: In Problem ,use the vectors in the figure at the right to graph each of the following vectors. u - v

A: Given :                     graph the vector :  u - v

Q: Consider the following vectors: 2 3 u = 3 v = -4 W = 17 2 Express w as a linear combination au+bv.…

A: The given vectors are  u=23-1  , v = 3-42,  w= 017-7

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: Given that a =-i+j+k, b3D2i+j-4k and c= 3i-5j+k, find a vector in the direction as (-a+3b-c) and has…

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Q: What is the resultant of vector A=2i +3j. and vector B=3i -2j Select one: a. 3.5 O b. 2 C. 5/2 Od.…

A: A vector is something that has both magnitude and direction. Like, if you are saying, someone is…

Q: Find cos(0) if 0 is the angle between the vectors u= 4i – 3k and v = 2i – 2j + k 2 14 15 15

A: First I have written a short note , just use them and find that  Answer is 1/3

Q: 4.9. Find the vector v with magnitude ||v|| = 8 that has the same direction as vector u =

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Q: What is the heading of vector AB in Figure 13? a. S 45°W b. W 45°S с. 225° d. 135° N A W- E B S

A: The given figure represents the heading vector AB

Q: 7 Consider the vectors: U = 1 v = w = -2 2 Express W as a linear combination au + bv. What is b'?

A: WRITE  W AS A LINEAR COMBINATION OF U AND V ie. w = au + bv Using Row Elementary Transformation,

Q: Which of the following vectors are parallel :

A: Two vectors are parallel if one can written as linear combination of other.  As showing in the hand…

Q: H.W 8- Find a vector in the opposite direction of a = (4,10) but as long. 4

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Q: 4. [6.1] If vector b is shown below, sketch a vector. a) Equal to b b) Opposite to b c) With the…

A: Solution of given question is written in below steps.

Q: Match each of the following vectors with its magnitude. t=(-7, 1) a. 5√2 u = -21-8j b. 2√√5 a vector…

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Q: (B): Find the unit vector perpendicular to the vectors: 31-4/+5k ; 11+5/-6k dw (C): If w = tan x and…

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Q: 1. Describe the vector that translates DEF to D'E'F'.

A: Given,          The vector that translates DEF to D'E'F'.

Q: If å = -î +ĵ b = 2î – 3j č = î - î And d = å – 3B + ¢ Determine the unit vector of d

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Q: mine the angle between vectors M = (1

A: Here we vector M=1,2,5 and vector T=-2,-3,3

Q: For what value of t, if any, is the vector (4t, -1) parallel to the vector (4, -1)

A: G

Q: 5 Given that p andr , find in column vector form: 4 p-r ep-2

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Q: For what values of t and s does the equality (- (2t + 2), 3s + t) = (2s + 4t, 7t – 4) hold true? t =…

A: see below the answer and calculation Equating both sides means the components are equal

Q: Let b be a vector in Rm satisfying the following equation. 8 b -5 Then m = and b =

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Q: 3. Which of the following statements is correct concerning the vectors in the diagram? (а) а-Ь-с (b)…

A: Note that the magnitude and direction of a vector does not change if it is translated from one place…

Q: (a) Suppose that a and b are two unit vectors in R^3, and a·b=11/24. Find the norm of the vector 4a+…

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Q: Find the angles that vector D 2.5 - 8.5 + k) m makes with the x-, y-, and z- axes.

A: Follow the procedure given below.

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

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Q: Find the angle O between the vector S -5 and -3 -4 Answer in rodians

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Q: Find the addition of the vector using the component methods. 1. 9 m/s [N30°E] and 2 m/s [N 60°E].

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Q: Which of the vectors in the image below represents 3 C when c = ?

A: Given query is to find the option which gives vector 3c.

Q: (d) Explain why each vector VER can be expressed in precisely one way as v u+w, where u ES and w ES.

A: