If vector a=< 1, –1, 0 > and vector b=< 0, –1, 2 >, find a · b (the dot product of vector a and vector b).

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 angle a between the vectors α= | and

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Q: Find the horizontal and vertical components of the vector with the given length and direction, and…

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

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

Q: For what values of b are the vectors and orthogonal?

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

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Q: Find the magnitude of the vector

A: The given vector is 0,7We know that in a vector a,b the magnitude is a2+b2

Q: Find the unit vector in the same direction as the vector u = [2, –1, –9]. Ex: 1.234 C Ex: 1.234 Ex:…

A: We will find the modulus (norm) of the vector and divide the vector by the norm to find the unit…

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 the angle a between the vectors -5 and

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Q: For AABC, let b and c denote the vector AB and AC , respectively. The vector BH is orthogonal to AC.…

A: Orthonormal vectors are perpendicular to each other.

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

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Q: If vector a= and vector b= are vectors a and b orthogonal, parallel, or neither? Provide

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Q: Find the unit vectors that are perpendicular to U = and V =,

A: Given the vectors U→=2, 3, 4 and  V→=-1, 3, -5 We will find the unit vectors that are perpendicular…

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 that has the same direction as the vector v. 31

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

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Q: Find a vector in component form that is perpendicular to the line 3x 4y = 6.

A: To find the vector in component form that is perpendicular to the given line.

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

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Q: Find the magnitude of the vector.

A: The given question is taken from the vector in which we have to find the magnitude of the given…

Q: Find the vector v with v= 6 and direction 0 =150°.

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Q: Find the angle between the vectors and .

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

Q: Find the dot product of the given vectors ü=, ö=

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Q: Show that each pair of vectors is perpendicular.    i + j and i - j

A: Given: u=i+j ,v=i-j

Q: Determine whether the vectors AB and PQ are equal to each other.

A: Solution of the problem as follows

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

A: Given vector is

Q: Define the points P(-4, 1), Q(3, -4), and R(2, 6).

A: Given P-4,1, Q3,-4, R2,6 To find the unit vector with the same direction as QR→

Q: C a

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Q: Find the angle 0 between the two vectors u = and v = .

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Q: If vector A is any non-zero vector, a unit vector in the same direction of A would be?

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Q: If u is a unit vector find the dot product of vectors u and w

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Q: If north is the direction of the positive y-axis and east is the direction of the positive x-axis,…

A: we have to solve given problem:

Q: Find two unit vectors that are perpendicular to both j + 2k and i – 2j + 3k.

A: Given that a→=j+2k,  b→=i-2j+3k   We know that the cross product of two vector is perpendicular to…

Q: For any nonzero vector v, the unit vector that has the same direction as v is________ . To find this…

A: For any nonzero vector v, the unit vector that has the same direction as v: To find this vector,…

Q: Find a unit vector in the direction of the vector v = .

A: Given a vector v=&lt;-2,2&gt;. We need to find a unit vector in the direction of 'v'. Let's begin.

Q: Explain why the vector 2u × 3v points in the same direction as the vector u × v.

A: Consider the vectors: u=x1i^+x2j^+x3k^v=y1i^+y2j^+y3k^

Q: Find the horizontal and vertical components of the vector with the given length and direction, and…

A: Recall: Horizontal Component, a=v cos θ Vertical component, b=v sin θ Vector=ai+bj we have, |v|=5,…

Q: Find the horizontal and vertical components of the vector with the given length and direction, and…

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Q: Given the vector u= find |ū| and the direction of ủ.

A: We have the vector u→=-3,8. Then we have to find u→ and the direction of u→.

Q: For this question, define the vectors v and w .

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Q: Assuming vector B is 12 units long, vector 4B is:

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Q: Calculate the magnitude and direction of vector A and B respectively?

A: Given, A¯=-5i^+2j^B¯=6i^-5j^

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

A: Find the angle between vector s

Q: Find a) vector A and magnitude of A, b) the angle between A and the y-axis, c) vector B.

A: According to Bartleby expert guidelines, I have solved only first 3 subparts of the given question.…

Q: Find the dot product of v and ủ and determine if the vectors are orthogonal. a. ú = U = V • U. =…

A: For vectors to be orthogonal dot product must be zero . if u and v are vectors then u.v=0