Find a unit vector that has the same direction as  4i − j + 8k.

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

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Q: Find the magnitude and direction (in degrees) of the vector. v = 4i + 4V3j

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Q: Find a vector that has the opposite direction of a = 8i - 6j and twice the magnitude.

A: a=8i-6j

Q: 4) Find the magnitude and direction of the vector i that has components v4 = –1525 and vy = -8402.

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Q: Find the unit vector in the direction of .

A: Given points are: P1≡32,72P2≡82,22 Then we get, P2-P1=82-32,22-72⇒P2-P1=52,-52

Q: If å = v2i +j - k, what is the vector whose alignment a is in the opposite direction and its size…

A: Given a→=2i+j−k We have to find the vector whose alignment a→ is in the opposite direction and its…

Q: Express the vector in terms of it's length and direction. i + 2j - k

A: Solution:Given   i+2j+kTo express in terms of its length and direction.u=vvand v=vu

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: (c) a = 3i - 2j + 5k and b= -2i-j+k, find 2a - 36 and also its unit vector.

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Q: Find a vector that has the same direction as 8i-j+4K but has a length of 6

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Q: Find the magnitude of the vector 3i - 3j. 18 O 23 0 6 312

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Q: Find a unit vector that has the same direction as the given vector. 4i - j+ 8k

A: Unit vector means the vector whose magnitude is equal to one. So to find the unit vector in the…

Q: Find the unit vector having the same direction as v. v=5i+-12j

A: Please refer to the image below.

Q: Find a unit vector that has the same direction as 8i - j+ 4k. Write the numerical coetficient in…

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Q: Find the unit vector in the same direction as v. v = 5i

A: Given, v=5i   The objective is to find the unit vector in the same direction as v.   The formula for…

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 and noim of V= 31 +5; -9k .

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Q: Find the unit vector in the same direction as v = 2i - 3j -6k

A: Given vector is v=2i-3j-6k. To find the unit vector in the same direction of the given vector.…

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

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Q: Find the direction cosines of the vector v = 2i−4j + 4k, and approximate the direction angles to the…

A: `The given vector is v=2i-4j+4k

Q: Find a vector v whose magnitude is 3 and whose component in the i direction is five times the…

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Q: what if it was the same vector, but 5y^2j?

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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 magnitude of the vector. U= 7i+24j

A: SOLUTION-

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: What is the dot product of the vectors a = 4i + 3j and b = -3i + 4j?

A: Solution is given below:

Q: use the vectors v=-2i+j and w=4i+3j to find: Find a unit vector in the same direction as v.

A: A vector is a quantity that has both direction and magnitude and a unit vector is a vector that has…

Q: Find the unit vector that has the same direction as v = 2i + 2j−k.

A: To find the unit vector for any vector v=ai+bj+ck, the formula v=a2+b2+c2 can be used. This formula…

Q: Express the vector - 4i - 8j + k as a product of its length and direction. - 4i - 8j + k=[Di+ ()j+…

A: To express the vector -4i-8j+k as a product of its length and direction.

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: Find the unit vector in the same direction as vv=5i-j

A: Given vector is

Q: Consider the vectors a= 2i +4j-6k, b*=-31 +k and c = 3j¯- 2k. Find a un vector parallel to - 2a…

A: Given query is to find the indicated unit vector.

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

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

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

Q: Given the vector A 2i +3 j, what is 3 A? Expand vector and collect like terms (simplify).

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Q: 13. Find the unit vector having the same direction as v. v = 6i-8j

A: We have to find the unit vector.

Q: Find a unit vector in the same direction as (2i - 6j - k). Oi-j-k O

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

A: The given vector is v=-3i+2j-4k

Q: Which is traveling faster, a car whose velocity vector is 27i⃗ +32j⃗ , or a car whose velocity…

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Q: Find the unit vector that has the same direction as the given vector. −3i + 7j

A: Given data: The given vector is a=-3i+7j. The modulus of the given vector is, a=-32+72=9+49=58 The…

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: 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…