Question 2 Consider the vectors a = 3i + 2j + 6k and b = -9i – 6j + 2k, where i, j, and k are mutually-perpendicular unit vectors forming a right-handed system. (a) Calculate (i) a + b. (ii) The magnitude lal of a. (iii) The unit vector b in the direction of b.

Q: 4. Consider the vector with magnitude 3, as shown in the diagram. Write the vector in the form (a,…

A: we are given the magnitude of vector =3. and its direction=145 degree.

Q: 6) Find the x- and y-components of the vector ở with magnitude |ū] = 16.4 cm/s², and direction 0 =…

A: Here, magnitude is 16.4 Direction is 156.5°

Q: Find the resultant force of two vectors F = 5î + 2j and F = -2î - 8j. Graph the two vectors as well…

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Q: Find the magnitude of the vector AB A=(-1,-1) and B=(2, - 5)

A: The coordinates of the vector AB are found by subtracting the coordinates of the initial point, A…

Q: 10. A Plane is flying at 45 degrees north of the x axis at 400 mph. Sketch the situation and find…

A: Drawing the given data , Plane is at "A" From the diagram the x-component is OB…

Q: (b) Oppositely directed to 9i – 6j + 3k. - (c) Same direction as the vector from the point A(-2,0,…

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Q: 7. i and y are vectors of magnitude 1 and 2, respectively, with an angle of 120° between them.…

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Q: When analyzing the vector To the sum of two vectors, the first is parallel to the vector A = 2i-i+3k…

A: There is no specific formula.Please go through the solution.

Q: b) Consider the vectors a = 3i – 2 j +7 K, and b = -5 i +4 j-3 k, find 1- a.b 2- Angle between a and…

A: b Given vectors are a=3i−2j+7k and b=−5i+4j−3k. 1 We have to find the a⋅b…

Q: Question i: a. Determine the two unit vectors that are orthogonal to i = (-2,–1). Which two unit…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: b) Consider the vectors a = 3i - 2j+7 K, and b = -5i +4j-3k, find 1-a.b 2- Angle between a and b. 3-…

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Q: In the figure, a vector a→ with a magnitude of 24.1 m is directed at angle θ = 68o counterclockwise…

A: Given that: Magnitude of a→ =24.1mAngle of a→ w.r.t. coordinate axes: θ=68°Angle of primed…

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: Question 4 Let a = 2i - 3j and b = -3j + 2k. Determine: (a) a · b (b) а хЬ (c) a unit vector that is…

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Q: 18 Find the Unit Vector that has the Same direction as vector V = 8i-6j

A: Given :  V = 8i - 6j

Q: Question 5 Let u = 5i – j+k, v=j-5k and w=-15i+3j– 3k. Which vectors, if any, are a) Parallel b)…

A: Two vectors u and v are perpendicular if u.v=0                                        Parallel if…

Q: Pls help ASAP. Pls look at both images for all the optiosn for the question.

A: This problem is from a vector section and we solve this using basic definition of equivalent…

Q: Question 1. (25). For the vectors u = 2i + j + 2k and i = i – 2j – 2k. a. Find u· ū, i ·ở and ū · Ữ.…

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Q: QUESTION 8 Consider the vectors u=(-1, 6, 4) and v=( -2, -4,-2). Find | -4u -6v |. (Type your answer…

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Q: 6. The x-component of a vector is 4 and the y-component is -6. What is the magnitude and direction…

A: topic = vectors

Q: 3.) Find a vector with magnitude 12 in the direction of the vector w=-3i + 4j

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Q: 1. Find a unit vector pointing in the same direction as v = 2i – k.

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Q: a = 3i - 2j + 5k and b = -2i-j+k, find 2a-3b and also its unit vector.

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Q: For a vector of my oriented at 245 degrees on the hexagonal system, find the projections of this…

A: We have to find the projection of the hexagonal system on the six leads.

Q: Question 1. Compute the dot product of the vectors u = (2,0, -3) and v = (1, 4, 2), and also find…

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Q: 1/1 Determine the angles made by the vector V = 40i - 30j with the positive x- and y-axes. Write the…

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Q: 3 1 2 l a unit vector that is perpendicular to both ū an

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Q: 1. 3) Suppose A = 4i-6j, B = i + 7j and C = 9i - 5j. Find (a) ||5B-3C|| (b) unit vector having the…

A:

Q: Question 3. (a) Prove that the planes 4x – 2y + 6 = 0 and y – 4z – 13 = 0 intersect each other. (b)…

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Q: Find the vector parametric equations for the line. in the direction of the vector 57-5-k and through…

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Q: 17) Find a vector v whose magnitude is 26 and whose component in the i direction is twice the…

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Q: Find the angle between the vectors a 0 = and b = 2i+j - 4k. 10i - j - 5k

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Q: 27 Consider the vector a = -9ị- 3j. (a) Find â. (b) Find the vector b in the direction of a with a…

A: Given vector, a→ = - 9i→-3 j→ (a) a^ (b) b→ in the direction of a→ with the magnitude 5 Needed…

Q: QUESTION 7 OA = 21 – j + nk , OB =i+3j – 2K The position vectors of points A, B and C are and OC =…

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Q: QUESTION 23 Find the vector equation of the line through the point 71and perpendicular to the plane…

A: The vector equation of a plane is, a→ is the vector on the plane given and r→ is the variable vector…

Q: Question 2 a) Find the component form of the unit vector obtained by rotating the vector 135°…

A: (a)  From our trigonometry classes in precalculus, The coordinate of a point P on a circle of radius…

Q: Question 10 Find the volume of the parallelepiped determined by the vectors a =i+4j-k, b= 5i+j-5k…

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Q: Let v = -5i + 2j and w = 2i - 4j. Find the specified vector, scalar, or angle 3v - 4w.

A: Let v = -5i + 2j and w = 2i - 4j. Find the specified vector, scalar, or angle 3v - 4w.

Q: 1. Find the angle between two vectors a and b with magnitudes √3 and 2, respectively having a b =…

A:

Q: An airplane is located at position (3, 4, 5) at and travelling with velocity 400i + 500j – k meters…

A: 400i+500j-k

Q: Find the magnitude of the vector y = 2i-2i. v =

A: Given,           v=2i-2j

Q: Question 11 Find the unit vector u in the direction of the vector v-3( 0, 3, 4 ). 1 %3D V O A. 15 1…

A: Explained below...

Q: e) A fish tank in an avant-garde restaurant is in the shape of a parallelepiped with a rectangular…

A: In the question it is asked to solve for a.(b×c). Also the capacity of tank in liters.

Q: 2. Find an unit vector perpendicular on both a =i +2]- and 6 2i -k.

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

Q: QUESTION 5 Find the unit vectoru in the direction of the vector v= 5( 4, 0, 3). O A. U V 15 1 O B. U…

A: In this problem, the first of all magnitude of the v vector is to be determine and then unit vector…

Q: QUESTION 1. Three vectors are defined by position vectors defined m= (5,4,2), ñ =(-1,–3,6) and =…

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Q: If a = 3i-j-4k, b - 2i + 4j-3k and c i+2j-k. Find unit vector parallel to 3 a -2 b +4 c. Q.1

A: Comment:  We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 5. Sketch the vector as a position vector and find its magnitude. v =-6i - 4j

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Q: Find the angle between two vectors a = (3,4, 0) and b = (4,4, 2). (勞) O b. cos-l(끊) а. cos c.…

A: Given two vectors are a=(3,4,0) and b=(4,4,2).

Q: Question 1 Let a = 2i − 3j + 2k and b = i − 2j – k. - Determine whether the vectors a a) and b are…

A: