Find the angle a between the vectors -5 and

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

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Q: Find the angle a between the vectors α= | and

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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: Find the angle a between the vectors  [ -5 ]    And    [ -2 ] [ 5 ]                 [ 3 ]

A: To find the angle between the vectors

Q: Find the angle e between the vectors i + 2j - 3k and -i + 2j + k.

A:

Q: For the pair of vectors, find U + V, U-V, and 3U - 4V U = (4,1) V =(-6,3

A: Given that  U = (4,1) V =(-6,3) To find U + V, U-V, and 3U - 4V

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

A:

Q: Find a unit vector in the direction of the given vector: 4 Soloc

A: Given vector: -442 Since, we know that unit vector in the director of vector xyz is defined as…

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

A: For the vector ai∧+bj∧unit vector is given by ai∧+bj∧a2+b2

Q: Find the angle between the vectors, and

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Q: [:] [] Find c so that the vectors and are parallel.

A: Find c so that the vectors c4 and 25  are parallel. Let u=c4 and v= 25 be two vectors. Two vectors…

Q: Find the angle between two vectors, 6 and 8 units long, when their resultant is (a) 10 units long…

A: Given: The angle between two vectors, 6 and 8 units long

Q: Find the component form of the unit vector that makes an angle 0 = 3 2л with the positive x-axis.

A: We have to write the component form of the unit vector which makes an angle -2π/3 with positive x…

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: Find (a) the dot product of the two vectors and (b) the angle between the two vectors.

A: a) Given: v1=<-3,6>,…

Q: Find the cross product of the vectors ä = and b = .

A:

Q: Find the angle between the vectors and .

A: Given vectors a=-2i-j+3k b=2i+j-3k

Q: Find (a) the dot product of the two vectors and (b) the angle between the two vectors.

A: (a) the dot product of the two vectors a(-2,5) and b(3,6) a · b = ax · bx + ay · by = -2 · 3 + 5 ·…

Q: Use paper and pencil to identify the redundant vectors. 2 1 3. 4. 3. 4.

A: We have to identify redundant vectors.

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

A:

Q: Find a unit vector in the direction of v = (-6, 8).

A: we have to find a unit vector in the direction of v=-6,8   as v=-6,8 therefore, v→=-6i+8j as we know…

Q: For two vectors a and b, V

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

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Q: Find the unit vector in the direction opposite to v = (1, 3).

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Q: Find the angle a between the vectors 5 2 and 1 a =

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Q: nd the angle (to the nearest tenth of a degree) between the vectors  u = and v=

A: Angle between vectors u and v is θ = arc cosu.vuv

Q: Find the unit vector in the direction of

A: Unit vector in the direction <-2, -5> Unit vector have magnitude 1

Q: Find the angle between the vectors a =i -j+k and b=i+j-k. (Write your answer in form of decimal and…

A:

Q: To find the dot product of two vectors, _________ corresponding components, andthen ____ these two…

A: To find the dot product of two vectors, _________ corresponding components, and then ____ these two…

Q: Find the angle (in degrees) between the vectors u = and v =. Round to one decimal place.

A:

Q: nd the an

A: Here we have, u→=cosπ3i+sinπ3j ........................................ (1)  v→=cos3π4i+sin3π4j…

Q: Find the angle between the vectors ā = and b = . [Nearest degrees]

A:

Q: For the pair of vectors, find 3U- 4V. U = (3, 2), V= (-4, 3)

A: We have to find 3U - 4V

Q: Find the angle O between the vectorS 3. and -2

A: Given: 34-2 &114 We can write given vectors as, u=3, 4, -2v=1, 1, 4 We know that,…

Q: Draw the vectors in standard position in R2 with their tails at the point (2, -3).

A:

Q: Find the unit vector in the direction opposite (-2, –1). to y =

A:

Q: Find (a) the dot product of the two vectors and (b) the angle between the two vectors.

A: 10,7 and -2,-75

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

A: We have to find unit vector that has the same direction as the vector v=3i-4j. We know that unit…

Q: Find the angle 0 between the vectors i + 2j - 3k and -i + 2j + k.

A:

Q: Find the angle 6 between the vectors. u- (1, 1, 1), v- (5, -4, 3), radians

A: Angle between the two vectors can be found by applying dot product of two vectors.

Q: Find the angle between the vectors i + j + 2k and 2i - j +k

A:

Q: 2. Find the angle between the following two vectors. and

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Q: Find (a) the dot product of the two vectors and (b) the angle between the two vectors.

A: a) If u and v are two-dimensional vectors, we calculate the dot product as   u=(u, u2) and v=(v1,…

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

A: Given:  i + 2j - k

Q: Determine the angle, to the nearest degree, between the vectors = (5,3), b= (-1,–2)

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

A:

Q: Find the angle a between the vectors L3] and]

A: Find the angle between vector s

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.