Among all unit vectors u = in R°, find the one for which the sum x + 6y + 9z is minimal. నా

Q: 3 Among all unit vectors u = y in R', find the one for which the sum x + 8y+ 4z is minimal.

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Q: Find the angle 0 between the given vectors to the nearest tenth of a degree. U = 14i V=-7i

A: To find Angle between two vector a→,b→ we use, cos α =  a→·b→|a→|·|b→|

Q: 18) a) Find a unit vector that is orthogonal to both u = and v = . b) find the area of the…

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Q: The area of the parallelogram formed by the vectors p = (a, 1, –1), and q= (1,1, 2) is v35 sq units.…

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Q: Find the angle between the vectors. (First: v = -21 exact u = i- 6j + k, approximate xx x +

A: topic:- vector algebra

Q: Among all unit vectors u = in R°, find the one for which the sum x + 3y + 8z is minimal.

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Q: 4 cos(x) = 4 cos(x)i - 4 sin(x)j -4 sin(x) u3D( )i+( ) j

A: solution is given below

Q: he vectors (2i -3 j), (3i – j) and (2k - i) are Parallel to each other A. B. Perpendicular to each…

A: If dot product of vector is zero then perpendicular vector If cross product of vector is zero then…

Q: n Let ú and ú be two nonzero vectors in R" for which ú + 2v is orthogonal to ủ – 20. What is the…

A: We have to find the ratio

Q: Find all values of h such that the vectors {a,, az} span R?, where a1 a2

A: Given that,

Q: Let S be the parallelogram determined by the vectors 6. -3] Let A The area of the image of S under…

A: The given vectors are : b1→=-23 and b2→=-25. The given mapping is: x→↦Ax→, where A=6-3-32.

Q: Determine the value(s) of k such that the area of the parallelogram formed by the vectors a = (k +…

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Q: Find the cosine of the angle between the vectors PI(x) = 1 + 2x – x and p2 (x) = -2 -x + 3r with…

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Q: 10- With respect to the origin O, the vertices of a triangle ABC have position vectors OÁ = 2i + 5k,…

A: (a) Given that position Vectors, OA→=2i+5kOB→=3i+2j+3kOC→=i+j+k   As we know that, two vectors are…

Q: Construct the vectors a = 3k - 2j and b = 3i - 2j and c = ax b. Compute the absolute value of the…

A: Given data : a⇀=3k-2jb⇀=3i-2j To calculate c=a×b The value a×b=ijk0-233-20

Q: a) Show that the three vectors A = 2i – j+ k , B = i - 3j – 5k, Č =-3î + 4j + 4k %3D form the sides…

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

A: We will find the unit vector which satisfied the given condition in the following step.

Q: Find the angle 0 between the given vectors to the nearest tenth of a degree. U = 12i + 6j, V = -13i…

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Q: 1. The two unit vectors parallel to the line y = x- 3 are and

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find two unit vector in a plane that make an angle of 30with 4i+3j

A: Given: A vector 4i+3j and the angle is 30o .

Q: 1 For what value(s) of h is the vector b = -3 in the span of the vectors V1 ,V2=

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Q: Given vectors u = 1.3i + 4.8lj and v = -7.4i + 2j, u and v are: Parallel vectors. O None of these.…

A: Given vectors are u=1.31i+4.81j and v=-7.4i+2jTo check if the vectors are parallel they should…

Q: (B): Find the unit vector perpendicular to the vectors: 31-4/+5k ; 11+5/-6k dw (C): If w = tan x and…

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Q: 42. Show that the unit vector ī = xỉ + yj is not parallel to ū = yi – xj for any choice of x and y.

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Q: Determine if the vectors v = 3i i, and w = 2i -6j are parallel or not. Explain.

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Q: Given the vectors A = 3i – 5j + 2k and B = 7i + j – 2k. Find the vector projection of A onto B.

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Q: Find the angle 0 between the given vectors to the nearest tenth of a degree. U = 14i + 6j, V = -13i…

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Q: Find the area of the triangle with two sides given by the vectors a = i – j+ 4k, and b = 2i – 4j+1k

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Q: 36) Find the values of x and So the vectors 2i+3 and xi +4j are equal.

A: Two vector are equal if and only if their magnitude are equal and have same direction.

Q: The.vectors (2i - 3 j) , (3i – j) and (2k - i) are Parallel to each other Perpendicular to each…

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Q: Find all unit vectors perpendicular to (3, 1, 4) that make equal angles withj and k.

A: Here we have to find the unit vector. The solution is following.

Q: Given these vectors find the sum of U+V (Question in the provided attached photo)

A: Given these vectors find the sum of u+v.    u=-4,-4 and v=1,8

Q: ': Find all unit vectors parallel to the and perpendicular to the plane vector V = 5i -j + 2k

A: Here we find all unit vector parallel to the yz plane and perpendicular to the vectorv→=5i∧-j∧+2k∧

Q: 3 The vectors a and b are defined by a - and Given that a + 2b = Si + 4j find the values of p, q and…

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Q: 4) Find all vectors vE C? such that (1 + i)v + () = () 3+ 6i

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Q: 10- With respect to the origin O, the vertices of a triangle ABC have position vectors OA = 2i + 5k,…

A: (a) To show that triangle ABC is a right angled triangle, use scalar product of vector, that is…

Q: 41. Find the value of A if the vectors i+ Aj+3k and-2i+j-4k arc parallel. uectors ii + 3k and 2i -

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Q: Find the cosine of the angle between the vectors P1(x) = 1 + 2x – x² and p2(x) = -1 – 3x + 2r² with…

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Q: A, B and C are points in space relative to 0 such that AB 1 CO and AC 1 BO. Prove that BC 1 AO. The…

A: Given: A, B and C are points in space relative to O such that AB⊥CO and AC⊥BO. To show: BC⊥AO.…

Q: 3. Consider the vectors X and Y in R³ where X = -i+3j and Y = 4i - 2j + 2k. Find the unit vector…

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Q: Find the angle between the vectors. 20 u= - 5 531-Si and v= zi-[2 V3= 2i:

A: The given vectors are

Q: 2. Find an unit vector perpendicular on both a =i +2]- and 6 2i -k.

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Find the angle e between the vectors in radians and in degrees u = cos()i + sin()i, v = cos( )i +…

A: Answer as follows

Q: 98 25) Gvon vectors v= 30tj and w=-2i -j. Decompose v into two vectors V, and Vz, where V, is…

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Q: (B): Find the unit vector perpendicular to the vectors: 31-4/+5k 41 +5/-6k i (C): If w = tan x and…

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Q: Find the angel between the vectors u and v if u=-4i+2j and v=3i+2j Round answer to two decimal…

A: Consider the dot product of two vectors.

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

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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/Let u and v be a nonzero vectors in 3- space, and let e be the angle between these vectors when…

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Q: The vectors i = (-4, p, –2) and j = (-2,3, 6) are such that the angle 0 between them satisfy…

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