ind a unit vector that has the same direction as the vector –3ỉ + 7j.

Q: Find a unit vector in the same direction as 8i-j+ 4K

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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 a vector of magnitude 7 in the direction of v = 12i - 5k

A: Given vector is v = 12i – 5k. First find the direction of the given vector

Q: u = 700i + 500j

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Q: For the vector u = 4i- 3j, find a unit vector a. in the same direction as u b. in the opposite…

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Q: and notm ind the unit vector of V= 31 +5j -9k.

A: Given: v=3i+5j-9k To find: Unit vector of v Norm of v

Q: Find the unit vector in the same direction as v = 8i - 15j.

A: The vector given to us is  v = 8i - 15j

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 = ⟨3, 1⟩, v = ⟨2, −1⟩     (a) in radians and (b) in degrees.

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Q: Determine a unit vector perpendicular to the both vectors A : 2i + 5j – 4k and B - 3i + 6k. |0| = (…

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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: 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 in the same direction as v = 4i - 3j. Then verify that the vector has magnitude…

A: Consider the following vector: v→=4i^-3j^ Consider the following formula: unit…

Q: 3. Find a unit vector in the direction of v. V = 20i – 21j

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Q: 4) -16i + 30j

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

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Q: Which of the following vectors is equivalent to the vector with magnitude 2 units that is oriented…

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

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

A: Given vectorv=8i^-6j^

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: Calculate the cosine of the angle which the vector 2i+2j-k makes with the positive x-axis

A: Given: find the cosine of the angle which the vector 2i+2j-k makes with positive x axis

Q: Find a unit vector in the same direction as a= 6 i -4 j. i + j.

A: Given, a=6i-4j

Q: Determine a unit vector perpendicular to both A=i+2j-3k and B=-2i-3j+k

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

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

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

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Q: Find the magnitude of this vector U=9i + 12j

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Q: Find a unit vector in the same direction as the given vector. a = 40i + 9j

A: Given,           The vector is a=40i+9j .

Q: = - A. Find the unit vector that makes an angle (0 with the positive x-axis.

A: The unit vector makes an angle θ=-3π4 with positive x-axis

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: 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: Express the following vector as a product of its length and direction: v = 4i + 8j – 16k -

A: Given vector is v→=4i+8j−16k. We have to express the given vector as a product of its length and…

Q: Let v = -4i + 3j. Find a vector that is half the length and points in the same direction as V

A: Given vector v=-4i+3j. To find: A vector  that is half the length and points in the same direction…

Q: Find the unit vector in the direction of the given vector a, and express it using standard unit…

A: Find the unit vector in the direction of the given vector a . vector a = 20i - 21j  . Here i…

Q: Find the unit vector in the same direction as

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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 a unit vector that has the same direction as the vector 7i – j+ 5k. | Answer: u =

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Q: Find a unit vector in the same direction as the vector : a = 8i − 6j

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Q: Find  the vector in the same direction as  i + j  whose component in the   direction of  2i-2k  is…

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Q: Express the vectors in terms of their lengths anddirections. i + 2j - k

A: Given:  i + 2j - k

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

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Q: Find two unit vectors that are perpendicular to both j + 5k and i − 4j + 3k. (Enter your…

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Q: Find the magnitude of the resultant vector. (8, 10) (7, -1) [?] Round to the nearest tenth. 13

A: First find the resultant vector then take the magnitude.

Q: Find the unit vector in the same direction as v = 5i - 12j. Then verify that thevector has magnitude…

A: Unit vector in same direction vectorvector's magnitude

Q: Find a unit vector that has the same direction as 8i – j + 4k Thank you

A: Given vector 8i-j+4k. For any given vector V the unit along the direction of the given vector can be…

Q: / Let v = -4i + 3j. Find a vector that is half the length and points in the same direction as v

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Q: Find the angle 0 between the vectors a = 8i – j– 4k and b = 2i+j- 9k. %3D

A: A vector is a mathematical concept with both magnitude and direction. It's used to describe things…