Determine if the vectors v = 3i i, and w = 2i -6j are parallel or not. Explain.

Q: Show that the vectors are parallel, and determine whether they have the same direction or opposite…

A: Consider the given vectors a→=-52i+6j  ,   b→=-10i+24j

Q: Find the unit vector having the same direction as v. v = 3i - 4j 3 4 4 3 3i-3i Ou=15i- 20j

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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 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: Draw the vector V that goes from the origin to the given point. Then write V in terms ofthe unit…

A: We have to draw a vector that starts from the origin (0,0) and goes to the point (-1,-5).

Q: If u = 5i - j+ k, v =j - 5k, w = -15i + 3j - 3k. Which vectors, if any, are (a) perpendicular? (b)…

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Q: Given the vectors, ū = -3i+2j and = 4i – j, find 4ü-27. %3D (-20,10) (20,-10) (-20,-10) (20,10)

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Q: Find the angle between the two vectors and determine if theY are, or thogonai: ü=5i-33+2k ahd V=-i-…

A: We will use the formula: θ=cos-1u→·v→u→v→First we calculate:…

Q: Find the direction angle θ 1 (in degrees) of the vector v = -i + 3j

A: Answer is -72°(approximately) Explanation of the solution is given below...

Q: Find two unit vectors that are perpendicular to both j+ 5k and i - 5j + 2k. (Enter your answers as a…

A: The given vectors are j+5k and i-5j+2k

Q: Give two vectors A=4i+3j, B=5i-2j Find its values and the direction of vector C, which is 2A-B

A: Vector addition

Q: Find two unit vectors that are perpendicular to both  j + 2k and i - 3j + 2k  (Enter your answers…

A: Cross product of two vectors give always a perpendicular vector to both.

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: Write the vector v in terms of i and j whose magnitude||v||= 12 and direction angle θ= 225°.

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Q: Show that the vectors are parallel, and determine whether they have the same direction or opposite…

A: Given that, a = 3i - 5jb =- 127i + 207j

Q: Write the vector v in terms of i and j whose magnitude||v||= 8, and direction angle θ = 45°.

A: Write the vector v in terms of i and j whose magnitude||v||= 8, and direction angle θ = 45°.

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: 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: Draw the vector V that goes from the origin to the given point. Then write V in terms ofthe unit…

A: The given vector is 5,2

Q: Write a unit vector that points in the direction of the vector i+√2j+7k

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Q: Write the vector v in terms of i and j whose magnitude||v|| = 6, and direction angle θ = 30°.

A: It is given that magnitude||v|| = 6 and  angle θ = 30°.

Q: Find the angle 0 between the given vectors to the nearest tenth of a degree. U = -5i + 7j, V = 6i +…

A: To find: The angle between the given vectors. Given information: Concept used:

Q: Find the angle a between the vectors 1 -3 and 3 109.136

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Q: The question says: "Find the magnitude and direction (in degrees) of the vector" V= 40 , 9

A: We use the magnitude formula with a=40 and b=9Answer: Magnitude = 41

Q: Find the angle between vectors: a = 51-4j+2k and, b= 41+3)+2√5k

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Q: Find the angle between the vectors ū = 21– 35 and V = 2i+45.

A: To Find the angle between the vectors u = 2i-3j and v = 2i +4j. Explanation:- The angle between two…

Q: Find the unit vector having the same direction as v. v = 3i - 4j 3. 4 3 Ou-15i-20j

A: We have to find unit vector

Q: b) How do you tell if two vectors are perpendicular?

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Q: Let x→=2i→−12j→+k→ and y→=12i→+2j→+3k→ be the two vectors. Find the angle (in radians) between the…

A: Given two vectors are To find angle between given two vectors.

Q: (a) How do you tell if two vectors are parallel?

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Q: If you three vectors a = i + j + k, b = 2i – j + 3k and c = i – 2j + k , find a unit vector parallel…

A: Given,          The three vectors are a→=i+j+k , b→=2i-j+3k and c→=i-2j+k.

Q: Find the direction angle of the vector v. V = -i + 3j

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: If v = 5i + 4j, find the vector 6v.

A: Consider the following vector: v→=5i^+4j^ Consider the following expression:…

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 angle 8 between the vectors in radians and in degrees. 3D(4, 4), v = (8, –8)

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Q: Draw the vector V that goes from the origin to the given point. Then write V in terms ofthe unit…

A: The given vector is 4,-5

Q: Write the vector v in terms of i and j whose magnitude Iv] and direction angle 0 are given. Ivl - 7,…

A: This question can be solved using the concept of component form of vectors.

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: If v = 7i + 10j, find the vector 8v.

A: Given: v = 7i + 10j To find: The vector 8v.

Q: The angle between vectors A = 91-j+5k and B = (-2,7,1) is.. ******

A: According to our terms and conditions,we can only solve one problem at a time. So please repost the…

Q: Find two unit vectors in 2-space that make an angle of 45° with 6i + 5j. Enter the vector i as i,…

A: here here we have

Q: ) The magnitude of the vector a = 2i – 3j is

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Q: Find the direction angles of the vector. V = -3i + 2j - 4k

A: The given vector is v=-3i+2j-4k

Q: Find the angle between the vectors  [ 2 ]    And    [4] [ 1 ]               [6]

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Q: Show that each pair of vectors is perpendicular.     -6i -5j and 10 i -  12 j

A: If two vectors A and B are perpendicular then its dot product A.B=0Dot product:i, j,k are the…

Q: Perpendicular vectors are also said to be __________.

A: Perpendicular vectors are also said to be __________.

Q: o -3 - 5 ↓ 2 buy on IN A 65 US

A: We have to find out the components of the addition of the two vectors, that is, w→+v→.

Q: Find the angle 0 between the vectors in radians and in degrees. u = 7i + 2j + k v = 2i – 7j (a)…

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Q: Find the vector v whose magnitude is 7 and whose component in the i direction is both positive and…

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