Question 2 a) Find the component form of the unit vector obtained by rotating the vector <-1, 1 > 135° counterclockwise about the origin. b) Findthedirectionanglesofthevector V = 2i + 4j – 12k

Q: Find the angle between the vector through the origin & the point (1,1,1) and the component of Ā = 2i…

A: Given:-A vector passes through the origin &amp; the point (1,1,1) A→=2i+2j-k and B→=i+j To Find:-The…

Q: What is the magnitude and direction of the vector v = ? (answers to the nearest tenth) %3D

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Q: Find the magnitude and the direction of the resultant vector. (5, 11) V w (4,-3)

A: The given vectors,v→=(5,11) and w→=(4,-3)

Q: Find the cosine of the angle between the vectors: a = 4i + 2j-k b=2i+ 4j-k

A: Simply take the dot/scalar product of both vectors a &amp; b.

Q: Find the angle θ between the vectors (a) in radians and (b) in degrees.

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Q: Question 2. Let ū = 31 – k, i = -ỉ - 3+ 2k. %3D (a) Find unit vectors in the direction of ū and ū.…

A: As per our guidelines we are allowed to solve one question at a time. Kindly repost the rest…

Q: Find the angle between the vectors a = 10i – j – 5k - and b = 2i+j – 4k. Answer (in radians): 0 =

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

A: The given vectors are 4t1 and 4-1 are parallel4t1=k4-14t1=4k-k where k is a scalar

Q: The vector from the origin to point A is given as 6a, – 2a, - 4a., and the unit vector directed from…

A: Vector A is &lt;6,-2,-4&gt; Let Vector B i s &lt;23B,-23B,13B&gt; The distance between A  and B  are…

Q: Question 1: Given the points P(-9,6) and Q(3,12), state a UNIT vector in the same direction as PO

A: P (-9,6) and Q (3,12)PQ→ = [3 - (-9)]i^ + (12-6)j^PQ→ = 12i^ + 6j^PQ→ = is the vector joing (-9,6)…

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: Find the unit vector that has the same direction as the vector v = 4i - 2j.

A: the given vector is v=4i-2j

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: The angle between the vectors A = 17- 31+4 k and B= 5î -3ĵ+0 k, in term of cose is Answer:

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Q: QUESTION 3. a) Three vectors are defined by position vectors defined as ā = 2i +j- 3k, b = -3i + 2j…

A: We need to find scalar triple and vector triple product  here i find answer in terms of x ,y ,z

Q: Find the components of the vector with magnitude 5 and direction θ = 2π/3

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Q: Question 2 Consider the vectors a = 3i + 2j + 6k and b = -9i – 6j + 2k, where i, j, and k are…

A: As per guidelines only first 3 questions solved remaining questions ask new slide Product of given…

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

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

A: We have to find the value of t.

Q: Find the unit vector that has the same direction as the vector v = 8i - 6j.

A: Given vectorv=8i^-6j^

Q: Find the magnitude and direction angle of the vector w = -4i - 3j to correctly write w in…

A: we have vector  w→=-4i-3j we have to find  i) magnitude ii) direction  iii) vector w→ in…

Q: the magnitude and direction of this vector.

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Q: The initial point of a vector v in V₂ is the origin and the terminal point is in quadrant II. If v…

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Q: Find the direction cosines and direction angles of the vector 3i +2 i – k .

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Q: If C is added to B, the result is -9i + 5j. If B is subtracted from C , the result is 4i - j. Find…

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Q: If a line is parallel to the vector 4i + 1j + 4k and passes through the point P = (3, 7,9), then the…

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Q: given two vector find  A x B = C  and Convert  to cylindrical coordinates

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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: The projection of the vector 11i + Aj in the direction of the vector i+3j is the vector 2i+6j. What…

A: To find the value of A for which  Projection of vector (11i + Aj) in the direction of the vector (i…

Q: Question 3 Find a unit vector in the direction of the given vector. 20 -10

A: 3. To Find: The unit vector in the direction of the vector -2020-10

Q: Question 8 Relative to a fixed origin O, the points A, B, and C have the following position vectors…

A: The position vector can be represented in form of a column vector. The matrix operations and rules…

Q: Question 9 If Ilull = 4. Ilv|| =3 and u.v = 0 , then the angle e between the vectors u and v is 300…

A: As we know that the dot product of the two vectors is: u·v=uvcosθ Given: u=4 ; v=3 &amp; u·v=0

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

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

A: 400i+500j-k

Q: Consider the point P(-2,3) on the coordinate system. Describe geometrically the position vector…

A: Given point P (2,3)

Q: QUESTION 3. a) Three vectors are defined by position vectors defined as ā = 2i + j– 3k, b = -3i + 2]…

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Q: please help me find the magnitude of the following vector. U = 8i + 15j

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Q: Given the three points X(6, 2, - 3), Y(- 2,3,0) and Z(- 4, 6, 5). Find the unit vector bisecting the…

A: Given position vectors: X6,2,-3; Y-2,3,0; Z-4,6,5To find: The unit vector bisecting angle YXZ.…

Q: Suppose a vector has magnitude 10 and a direction angle of 240°. Find the component form of the…

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Q: If a = 3i – j +2k, b = I + 3j – 2k, determine the magnitude and direction cosine of the product…

A: Dot Product: Let u=u1i+u2j+u3k and v=v1i+v2j+v3k be two vectors. Then the dot product of u and v is…

Q: Write the polar form of the vector 3 + 4i.

A: This is a problem of complex analysis.

Q: Find the angle between two vectors a = (3, 4, 0) and b= (4,4, 2). %3D O a. COS 15 1 (금) O b. CoS Oc.…

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Q: find the magnitude and direction angle for the vector v=2i-6j to correctly write v in trigonemetric…

A: Given : The vector v = 2i - 6j to correctly,   ⃗⃗⃗⃗⃗               ⃗v(2,-6)  magnitude of (2,-6)…

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

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Q: b) let A = 3i + 2j – k, and B = i-j+2k find the: (a) Component form (b) magnitude (length) of the…

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Q: Find the magnitude and direction of the resultant of the following vectors using Laws of Sines and…

A: Given that x=10N and Y=5N. The graph formed is, Now decompose X and Y vector along x and y…