Which one of these vectors has magnitude 4 and makes a 210° angle with the positive x-axis? O -2/3i – 29 O -3/2î – 2) O -2/3î + 23 O -2/2i – 2/2)

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

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Q: Let a 3 = 3 and b -(1)-(²) = 0 Angle a. What is the angle between the vectors? Give your answer (in…

A: Given: a=330 and b=3-22. To find: a) The angle between the two vectors a and b. d) Area of triangle…

Q: Given the two vectors A = -9i- 2j -7k and B = -3i- 4j +8k, Find th (e) Ax B (f) the angle between…

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Q: Find the angle between the vectors u = V3i - 9j and v = /3i+j- 4k. The angle between the vectors is…

A: on solving this we get the

Q: What is the angle between the two given vectors?   A=4i + 12 j + 6k   B=24i -8j +6k

A: Given,            The two vectors are A→=4i+12j+6k and B→=24i-8j+6kWe know that,            The…

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

A: We are given with the vector and need to fid the angle in a) radians b) degree.

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 & b.

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

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Q: Find the angle between the vectors u = - i+ 6j and v = - 5i + 2j – 4k. The angle between the vectors…

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Q: Question 1 a) Find the value(s) of y such that the vectors U₁ = and u₂ = are parallel. b) Find the…

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Q: Find the angles between given vectors. (a) ā = 3i + 4j and b= 5i – 4j (b) a = 3i +4j - 5k and 5= 6i…

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Q: Find the angle ? between the given vectors to the nearest tenth of a degree. U = −5i + 7j, V = 6i +…

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Q: Question 1 a) Find the value(s) of y such that the vectors U₁ = and u₂ = are parallel. - b) Find…

A: a) Find the values of y such that the vectors u1=-6, -5, 5 and u2=-18, y, 15 are parallel. Two…

Q: Find the angle between the vectors. (First find an exact expression and then approximate to the…

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Q: A pipeline is to be fitted under a road and can be represented on 3D Cartesian axes as below, with…

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Q: if these vectors A = 4i – 2j + 4k and B = 4i + 5 j

A: we have ;  A→=4i-2j+4k ............(1)B→=4i+5j+0k  ...............(2)

Q: Find the angle e between the vectors in radians and in degrees. u = 6i + 3j + k v = 3i – 6j

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Q: Consider the vectors ä = 5i+ 3- k, 6= 5i – 3 + k, 1+53+ 6k d = i+3+6k, j = -1-53+ k. Which pairs (if…

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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: Consider the vectors. 4i - j, -10i + 3j (a) Find the dot product of the two vectors. (b) Find the…

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Q: 3. Given the vectors v = i- 2j – 2k and w = 31 – 5j + 4k, find (a) the cosine of the angle between i…

A: The given vectors are, v→=i-2j-2kw→=3i-5j+4k The magnitudes of the vectors are as,…

Q: Find the angle between the vectors u = 3i + 5j and v = i - 3j + 4k. The angle between the vectors is…

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Q: Find the angle between the vectors u = 4i – 2j and v= 3i– 4j – 5k. The angle between the vectors is…

A: We have to find the angle between the vectors u=4i-2j and v=3i-4j-5k Angle between vectors u and v…

Q: Referred to the origin O, the points A, B and C have position vectors given by OÅ = i + 2j + 3k, OB…

A: (i) Position vector of A, B and C are A→ = i +2j +3k  , B→ = 2i+4j +k  and C→ = 3i +5j -3kAngle…

Q: find the cosine of the angle between the vectors. 3i + k, i + j + k

A: Let,u = 3i+kv = i+j+kFormula for finding the cosine of the angle between two vectors is given by -…

Q: 3. Find the angles a, ß,y, which the vector Á = 3î – 6î + 2k makes with the coordinates axes and…

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Q: . Find the angle between the vectors å = 4i – 35 + k and b = 21 – k. (First find an exact expression…

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Q: Find the angle θ between the vectors v = 5i + 2j and w = -3i + j. Round to the nearest tenth of a…

A: Given vectors v=5i+2jw=-3i+j The dot product of these vectors can be found using  v·w=vxwx+vywy…

Q: Find the angle between the vectors u = 2i − 3j + k, v = i − 2j + k (a) in radians and (b) in…

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Q: Find the angle 0 between the vectors in radians and in degrees. 37 + sin 4 37 27n 27 + sin (a) in…

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Q: If the two vectors are in the following figure, find the angle (1) between them A=i+j-k B=2i-2j+2k

A: Given

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: Let i = 37 – 12j + k and y = 12i + 3j + 4k be the two vectors. %3D Find the angle (in radians)…

A: We can compute using cosine of angl

Q: Find the angle ? between the given vectors to the nearest tenth of a degree. U = 13i + 5j, V = −11i…

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Q: The angle between two vectors A = B = -1 0 cos Ө Ө -A 39 (²2) - B 75. 39 -1 = COS - C 5625/ not of…

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Q: find the cosine of the angle between the vectors 2i + 3j - k and        3i - 5j +2k   answer…

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Q: Find the angle ? between the given vectors to the nearest tenth of a degree. U = −5i + 7j, V = 8i +…

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Q: Show that each pair of vectors is perpendicular.     2i + j and i - 2j

A: Solution: Consider the given vectors are  a→ = 2i + jandb→ = i - 2j We know that if the dot product…

Q: Find the angles between these vectors, giving your answer in degrees to one decimal place. ) -3 and…

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Q: 6N 6N 14N

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Q: Find the angle between the vectors u = 3i + 4j, v = −2j + 3k (a) in radians and (b) in degrees.

A: Our Aim is to find the angle between the vectors given below:- u=3i⇀+4j⇀ and v=-2i⇀+3k⇀(a) in…

Q: Find the angle between the vectors u= - 6i + 6j and v = 6i - 5j + 5k. The angle between the vectors…

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Q: Given the vectors i = 10i – 5j and i = 9i + j, perform the operations below. 8- i- 5- = Calculator…

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Q: Let i = 47 – 107 + k and y = 10i +4j +5k be the two vectors. Find the angle (in radians) between the…

A: Given:

Q: Which of the following is not a unit vector? 2 A. • (-3/35.0,-/) √5' √5 B. (cos 1, sin 1, 0) C. (1,…

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Q: Find the angle between the vectors v = 4i - 3j and w = i + 2j. Round to the nearest tenth of a…

A: Given vectors,v=4i-3j  and w=i+2jwe have to find the angle between given vectors

Q: Find the angle ? between the given vectors to the nearest tenth of a degree. U = 13i + 6j, V = −12i…

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Q: Find the angle between the vectors i – k and 4i + 4j -2k

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Q: if a = 2i + 4j - 3k and b = i + 3j +2k, determine the scalar and vector products and the angle…

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