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

Q: If v = -2i + 5j, find a vector orthogonal to v.

A: Given v=-2i+5j We need to find a vector that is orthogonal to v. Two vectors are said to be…

Q: Find the unit vector in the direction of <4,2>

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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: Express the vector in terms of the unit vectors i and j. 2(3, 3) + 3(4, 2)

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Q: Express the given vector in terms of the unit vectors i, j, and k. (2, -5, 0)

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Q: Find the magnitude of the vector AB A=(-1,-1) and B=(2, - 5)

A: The coordinates of the vector AB are found by subtracting the coordinates of the initial point, A…

Q: Find a unit vector having the same direction as the given vector. (-7, 7)

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Q: Find a unit vector in the direction of the given vector. v=(-6,6)

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Q: Find a unit vector in the same direction as v= (28,-21).

A: A unit vector in the direction of (a, b)

Q: Find a unit vector in the same direction as a= -5 i  -7 j

A: To find a unit vector in the direction of a given vector, divide the vector by its magnitude. like:…

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 a unit vector in the direction of u and in the direction opposite that of u. u = (-15, -8) (a)…

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Q: n = (-16, -30)

A: A vector is a quantity or phenomenon that has two independent properties: magnitude and direction.…

Q: Find the vector equation of the line that passes through (1,0,-3) and it's parallel to v=2i - 4j +…

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Q: If v = 5i + 4j, find the vector -3v.

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Q: express each vector as a product of its length anddirection. 2i + j - 2k

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Q: Find the component form of the resultant vector. 1) u =(-11, 2) b=(10,-4) Find: -u - b

A: As per guidelines, we'll solve only one question if multiple questions are asked. If you need any…

Q: Express the given vector in terms of the unit (о, -5, 7)

A: Given query is to express the vector inthe form of unit vector.

Q: 4) -16i + 30j

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Q: Which two vectors are perpendicular to both a and b?

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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: Express the vector as a product of its length and direction. 6j - 8k 100- 10(j - k) 3 10 j O 10(6j -…

A: We have to find out the vector

Q: Write the vector as a linear combination of the unit vectors i and j.

A: Given two unit vectors i and j.  To write the linear combination of i and j.

Q: Write the given vector in terms of i and j. u- (0, -9)

A: given vectoru=(0,-9)

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: What is the unit vector with the same direction as the vector v = 2i - 7j? Write as a linear…

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

A: The question is from the topic of vector algebra

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

A: Given vectorv=8i^-6j^

Q: Find the Unit Vector for the given vector ,

A: The given vector is -5,12

Q: Find the unit vector that has the same direction as the vector v = -5j.

A: Given vector is v=-5j. Obtain the magnitude. v=-5j=-52=5

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

A: Given, a=6i-4j

Q: Find the direction of the resultant vector. (8, 10) V (7,-1) W [?]° 1>13

A: The given data is: v→=8i+10jw→=7i-j  To find the direction of the resultant vector.

Q: Solve for the vector x in terms of the vectors a and b. x - a = 2(x - 2a)

A: Given: x-a=2x-2a

Q: Find a unit vector u in the direction opposite of (-8,-4,-3).

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Q: write the vector v in terms of i and j.

A: Given, Initial point P1=(6,2) Terminal point P2=(-3,4)

Q: Find the vector V with the given magnitude and in the same direction as " M-;; -( 5 u = 4 - 6, 8)

A: We have to find vector

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: 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: Which two vectors are perpendicular to both å and b?

A: result of vector cross product of two vector is perpendicular to both the vectors.

Q: Find the magnitude of the resultant vector. (-25.6, 7.7)- (-11, -9.8) 1R

A: letA→=-25.6, 7.7 and B→=-11,-9.8

Q: Solve for the vector x in terms of the vectors a and b. x + 2a - b = 3(x + a) - 2(2a - b)

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Q: Find a unit vector u in the direction opposite of (-8,-4,-9). u =

A: Given vector is -8, -4, -9 We have to find a unit vector u in the direction opposite of the given…

Q: Find the angle a between the vectors 3 2 B [B] and -4 -3

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Q: If v = 7i + 10j, find the vector -5v.

A: We have been given the vector v=7i+10j, and we have to find -5v

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

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Q: Find the angle a between the vectors 日- 2 and a =

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Q: For the vector r (3, - 1), what is -4r? The vector - 4r = ( ).

A: Given :   Vector r =  ⟨3, -1⟩  To find : -4r ?

Q: Express the given vector in terms of the unit vectors i, j, and k. (14, 0, 4)

A: Given,  Vector < 14, 0, 4>

Q: b Write the vector b in terms of the other vectors. C.

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Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.