Find a vector v such that ||v||=5, and v is in the opposite direction of -5i+7j .

Q: find a vector b so that the equation A = b has infinitely many solutions?

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Q: use the vectors v=-2i+j and w=4i+3j to find: ||2v||- 3||w||

A: v=-2i+j  &  w=4i+3j Now, 2v=2-2i+j=-4i+2j

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i +j and i- 6j as…

A: Here we have to find the length of the diagonal.

Q: Find a vector v such that ||v|| = 20 and v is in the same direction as 15i + 15j

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Q: Let v = i - 5j and w = -2i + 7j. Find the specified vector or scalar w - v.

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Q: 2. For the vectors u = -5i + k and v = 3j - 4k, find a. (u · v)u b. u - 3v

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Q: A. IF V = yi - x), find curt(V) and V.V B. Find the value of the constant B such that the vectors: u…

A: We can find the curl and divergence of vectors by using the formula The condition for the vectors to…

Q: Determine a unit vector perpendicular to the both vectors A : 2i + 5j – 4k and B - 3i + 6k. |0| = (…

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

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Q: Given the vector ū = - 4i + 5j, find the magnitude and angle in which the vector points (measured…

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Q: find "a" so that the vectors v=i-ja and w=2i+3j are orthaganal?

A: Given,  v=i-ja and w=2i+3j Two vectors are orthogonal if and only if their dot product is zero

Q: find the component form of the vector. The sum of AB and CD, where A = (1, -1), B = (2, 0), C = (-1,…

A: Given that A = (1, -1), B = (2, 0), C = (-1, 3), and D = (-2, 2)We have to find AB + CD.

Q: Find a vector v such that ||v||=20 and v is in the same direction as 15i+15j.

A: The parallel vector of a vector is the scalar multiple of the vector, and if scalar is positive then…

Q: Let the vector 3i +j can be expressed as a sum of vectors u and v where u is parallel to the vector…

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

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Q: Use the vectors v=-2i+j and w=4i+3j to find: v + w

A: v=-2i+j and w=4i+3j

Q: use the vectors v=-2i+j and w=4i+3j to find: -v + 2w

A: Given vectors are, v=-2i+j and w=4i+3j.   The objective is to find -v+2w.   First, find -v as…

Q: Use the vectors v=3i+j-2k and w=-3i+2j-k to find each expression. Find a unit vector orthogonal to…

A: Find a unit vector orthogonal to both v and w.

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: determine whether the vector pairs are parallel, orthogonal, or neither.  4i-9 and 18i + 8j  3i +…

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Q: Find the cross product of the vectors a = 2i + 3j – k, b =i- 2j + 2k.

A: NOTE: Refresh your page if you can't see any equations. . given vectors are

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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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: Consider the vectors: u=(-2,6), v=(-3, –4), w =i+9j, and x=8i-6j.

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Q: Determine a unit vector perpendicular to both A=i+2j-3k and B=-2i-3j+k

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Q: Given the vectors u = -i-5j and v =-3i+2j, find u v

A: Given vectors are  u=-i-5j     and   v=-3i+2j

Q: In an Euclidean space E, the vectors u+v and u - v are orthogonal, and the vectors u and u+3v have…

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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: If v = 7i + 3j and w = 4i - 5j, find the vector v - w

A: If v = 7i + 3j and w = 4i - 5j, find the vector v - w

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: Here, the required plane is perpendicular to the vector n=-2i+8k.

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: Given v = −8i − 4j and w = −6i + 4j, Find projwv. Find vectors v1 and v2 such that v1 is parallel…

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Q: Find a so that the vectors v = i- aj and w = - 9i - 8j are orthogonal. (Type an integer or a…

A: As we know that; If two vectors v & w are orthogonal to each other then the dot product or…

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

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Q: Q2/ A- If this vectors are perpendicular? Prove that. A-3i +j-4k B-2i- 2j + k B- Solve that

A: Two vectors are perpendicular if and only if their dot-product is equal to zero. Dot product of two…

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: (B): Find the unit vector perpendicular to the vectors: 4i + 5j - 6k 3i - 4j+5k ;

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Q: Find a so that the vectors v=i- aj and w = 7i- 10j are orthogonal. (Type an integer or a simplified…

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Q: Let v = i - 5j and w = -2i + 7j.Find the specified vector 6v - 3w or scalar.

A: Given: v=i-5j and w=-2i+7j

Q: Consider the vectors x1 = (2, 1)T and x2 = (6, 3)T . Determine the length of each vector.

A: Given: x1=2i+j, x2=6i+3j we know that for any given vector v=ai+bj, length l of vector is given by…

Q: Determine m such that the two vectors are orthogonal.

A: Given vectors are 9i-16mj and i+4mj. To find m such that given two vectors are orthogonal. Solution:…

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 V1 and V2 are vectors defined as V1=3i+3j-3k and V2=2i+j+3k, then: 1- determine the angle between…

A: Given V1=3i+3j-3k and V2=2i+j+3k

Q: Find the angle a between the vectors 3 a || -1 -2 - and 1

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