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

Q: When analyzing the vector To the sum of two vectors, the first is parallel to the vectorA 2i-j+ 3k…

A: I am attaching image so that you understand each and every step.

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

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Q: Find the vector in AB R2 given in the figure. 6 AB = help 4 (vectors) 1 2 3 -1 -6 -5 -4 -3 -2 -1 6.…

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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: If the vectors a=(2,5,-1) and b3(3,-3,k) are orthogonal, the the value of k is

A: Given : a = 2,5,-1b = 3,-3,k

Q: photo attached

A: Given point can be written in vector form as,

Q: Use paper and pencil to identify the redundant vectors. 4 3. 0. 0.

A: Definition : Redundant vector in a set is a vector which can be written as linear combination of…

Q: Find a non-zero vector B' which is perpendicular to A'= 2i'-3j'.

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Q: Find a vector a that has the same direction as (-8, 5, 8) but has length 3. Answer: a =

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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 of A=3ax+2ay-3az

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Q: Show that the vectors are orthogonal.

A: Let the given vectors be v=0i+-4j,u=-7i+0j.

Q: The cross product of the vectors a = 2i - j+ 3k and b= 4i – 2j + 6k is likely to be the zero vector…

A: If vectors are parallel then cross product will be zero check they parallel or not

Q: Find the area of the parallelogram whose diagonals are represented by the vectors a =(3,-3,1) and b…

A: See this solution in below

Q: When decomposing the vector A= 2i - 1 + 3k into the sum of two vectors, the first is parallel to the…

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Q: Express the vector v =12i -5j as the sum of a vector parallel to b = 3i +4j and a vector orthogonal…

A: here we have to write the vector v in the form: v→=β1+β2Where β1 is parallel to b→ and β2 is…

Q: If vector v is represented by an arrow, how is -3v represented?

A: Given: If vector v is represented by an arrow. To find: How is -3v represented?

Q: Find the magnitude of the projection of (8, – 2) onto the vector (4, 7)

A: Wr have to find the magnitude of the projection.

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

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Q: Suppose the twelve vectors start from 6:00 at the bottom instead of (0, 0) at the center. The vector…

A: You need ti understand the following two points before you can get to the answer: The new…

Q: If w = -2i + 6j, find the vector: [2(-2) + 4(-6)]w/lwl2.

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Q: Which vectors, drawn on a grid from one point (on the "cross-hairs") to another have integer values?

A: Y-component of A →…

Q: Find a vector in the same direction as (-5, 2, –3) with magnitude 6.

A: In this question , firstly we can find the unit vector of the given vector and after that we can…

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: 4. If two vectors P = 4i + 6j - 8k and F = 6i - 8j • 4k are added together describe the…

A: As we are solving only one problem at a time please submit the other question one by one as you…

Q: If the vectors a and b are such that a = kb where k is a positive scalar, then the vectors a and b…

A: Given statement: If the vectors a and b are such that a=kb where k is apositive scalar, then the…

Q: Two vectors ñ and m are said to be parallel if ñ-m-0

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Q: Find the "unit vector" for (3, 8)

A: The magnitude of a unit vector is 1 .

Q: If the vectors a=(2,5,-1) and b=(3,-3,k) are orthogonal, the the value of k is

A: Given : a = 2,5,-1b = 3,-3,k

Q: Find the length of the vector. v - (9, 12)

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Q: Determine the dot product of the two vectors shown in the diagram. (3.5) 1. -5 4 -2 -11 23 4 5 -2+…

A: Dot product of the given vectors

Q: Express the vectors in terms of their lengths anddirections. 2i - 3j + 6k

A: The given vector is a=2i-3j+6k. Compute the length of the vector as follows. a=22+-32+62=4+9+36=49=7…

Q: Find the area of the parallelogram that has the vectors u = (3, -1, 2) and v = (5, -4, 1) as…

A: Area of the prallelogram using cross product

Q: Express the vector -8i-4j-8k as a product of its length and direction.

A: Given vector v→=-8i-4j-8k

Q: 3. If a = 3x - 5y and b=-2x+9y, write the vector 5a-8b in terms of x and y

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

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Q: Find the area of the parallelogram that has the vectors u = (5,-1, 4) and v = (2,-3, 1) as adjacent…

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Q: Find the area of the parallelogram whose diagonals are represented by the vectors a = (3,-3,1) and b…

A: As we know that; The expression for the area of the parallelogram with the diagonals a→ and b→.…

Q: Suppose u = (-2,–3) and v = (2, –10) are two vectors that form the sides of a parallelogram. Then…

A: The diagonals of the parallelogram are u+v and u-v then we find the lengths of diagonal.

Q: Find the vector of length 10 with the same direction as w = (2, V2, V3).

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Q: Find the vector projy 2i - 2j - 4k, u = 5i - 12 k

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Q: when we decompose the vector , what would the vertical component be?

A: Use the decomposing concept of a vector.

Q: If we were to decompose the vector , what would be the vertical component?

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Q: Find a vector a that has the same direction as (-8, 9,8) but has length 3.

A: The solution is given below

Q: Find all vectors orthogonal to 3

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Q: Find the area of the parallelogram defined by the vectors (9,1) , (-5,5)

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Q: .3

A: Given: v={ √2,3√2}