. If å is a vector in the direction of S60°E, then draw its opposite vector and state the direction. [C:3]

Q: Let A and B be two points with position vectors A and B, respectively. Show that the line passing…

A: To derive the vector form of the required straight line

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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: Which of the following vectors are parallel? 1. Please select the two vectors that are parallel. А.…

A: 1) Two parallel vectors a and b are of the form a=kb, where k is a constant.  We can write <12,…

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…

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A: Suppose e and f be the unit vectors such that e+f=32 First, find the dot product of the vector e…

Q: For what value of t, if any, is the vector (2, -4t) parallel to the vector (4, -1) ? -2 OAt 1 OB. 8.…

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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: 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: For what value of t , if any, is the vector (8t, 2) parallel to the vector (4, -1) ? 1 O A. t=- 4 В.…

A: Now we will find the value of t .

Q: For what value of t, if any, is the vector (2, -4t) paralel to the vector (4, -1) ? t O A -2 %3D 1…

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Q: Given the points T (5, 20°, 120°) to P (2, 80°, 30°): find the unit vector in cartesian coordinates…

A: The relation between the Cartesian point (x,y,z) and spherical point (r,θ,ϕ) is x=rsinϕcosθ,…

Q: For what value of t , if any, is the vector (2t, 1) parallel to the vector (4, -1) ? Not OA. t = -8…

A: Given two vectors: (2t,1) & (4,-1) Since both vectors are parallel so the angle between then is…

Q: 2 Describe each of the translations shown using column vectors. a d e 3 Using the vectors in…

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Q: Suppose that |u| = 10 and |v| = 7, and that u • v = -55. Find the angle θ between the vectors u and…

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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: 5. For the vector OP = (1,4,-2), determine the direction cosine and the corresponding direction…

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

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: For what value of t,if any, is the vector (1, 4t) parallel to the vector (4, - 1)? Not OA. t = -2…

A: If the Vectors u and v are parallel then u=kV , K is any scalar.

Q: Given the vectors: A = 7+7+ k and B= 47+ 27+ k Find the vector projection of A onto B: Proj. _, A

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Q: Suppose the vector t has magnitude 48 and makes an angle of 239° with the positive x-axis (measured…

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Q: The vectors a, b and c are such that 2a – b+c= 0. If a = 4i – j+k and b = i- 2k , find a unit vector…

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

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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: For what value of t , if any, is the vector (4t, -1) parallel to the vector (4, -1) ? OAt=1 OB. t= 2…

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Q: If å is a vector in the direction of S60°E, then draw its opposite vector and state the direction

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Q: In each part, find the two unit vectors in R² that satisfy the given conditions. 1. The two unit…

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Q: Given the points T(6, 2, – 3), R(– 1, 4, – 2) and S(2,5, 1). Find the unit vector directed from T…

A: Please find attachment for the details solution

Q: Consider the graph provided find the length of the vectors u and i

A: Solution and Explanation is given below....

Q: Find the direction of the resultant vector. (8, 10) V (7,-1) W [?]° 1>13

A: The given data is: v→=8i+10jw→=7i-j  To find the direction of the resultant vector.

Q: Q2) if the vechors Find scalev component of ū in the divection of ū +2 a) The Proj, ū c) angle…

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Q: If a, b, and c are constant vectors, r is the position vector zi+ yj+ zk, and Eis given by the…

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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 m, the vector 4i + 2j – 3k and mi – j + V3 k have same magnitude?

A: Given Data: Vector 1: x1i+x2j+x3k=4i+2j-3k Vector 2: y1i+y2j+y3k=mi-j+3k The magnitude of vector 1…

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

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Q: For what value of t , if any, is the vector (2, 4t) parallel to the vector (4, -1) ? 1 No t OB. Oct…

A: Using the condition of parallel vectors to find value of t.

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

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Q: Suppose that A= 2i + j, B= i – 4j + k, and Ĉ =j+k. What is the direction of vector A? A A. 26.6 E of…

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Q: If c = 14, is the vector 2i + 5j in the span of ci – 12j and 7i - 6j? If c # 14, is the vector 2i +…

A: Answer

Q: A vector collinear to ū= is: a. d. 1,-2,-3> b. -1,2,3 > e. [K C.

A: Solution is here

Q: Given the points P(4, 4, 3), P(1, 4,0) and P3(10,0, 2). Find the vector that is orthogonal…

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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: 3- Given a vector A (r 17.5, 0= 90°, o = 55") and vector B (r=17.5, 0= 40°, q = 55") the distance…

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Q: For what value of t , if any, is the vector (2, -4t) parallel to the vector (4, -1) No t O A. 1 %3D…

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Q: w, and z head to tail as needed to sketch the indicated vector. 3 w

A: NOTE: Refresh your page if you can't see any equations. . here the height of the triangle is x=4…

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Q: Let a = (2, 5) and b = (5, 2). Find the angle between the vector, in degrees. Round to one decimal…

A: Solution of the problem as follows

Q: Given the vectors M = -10ax+4a, – 8a, and N= 8ax+ 7a, – 2a-, find: (a) a unit vector in the…

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Q: Suppose that |u| = 6 and |v| = 9, and that u times v = -37. Find the angle θ between the vectors u…

A: Vector Question