1 Let vi 6 and v3 7 V2 -1 4 3

Q: Find a non-zero vector a perpendicular to the vectors [3] and ū = 2 1

A: Given, v→ = 372  and  u→ = 121   We have to find the non zero x→ vector perpendicular to both the…

Q: Find eguation of a Plane that an contains the vector: and and Z=3E

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Q: Find the distance of point A(2/3, 2) from the line that passes through the origin and parallel to…

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Q: Find two vectors in opposite directions that are orthogonal to the vector        u = −(1/4)i + (3/2)…

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Q: 5. Determine the value of a so that the vectors v = perpendicular. (a,3, -2) and v - (2, -2a, 1) are

A: Solve the following

Q: Which of the following vectors is perpendicular to the plane 2x - 3y + 5z + 7 = 0?   a. [-3, 2,…

A: Given: The equation of the plane is  2x - 3y + 5z + 7 = 0   To determine: The vector which is…

Q: The figure shows two vectors in the xy-plane with |u| = 3 and v = 4 Which of the following could be…

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Q: Find the distance of point A(2-3,2) from the line that passes through the origin and parallel to the…

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Q: Q1. Given three vectors A = -a,+2a,+3a, B = 3a,+4a,+5a, and C = 2a, -2a,+7a,, compute : a) Angle…

A: Given the vector A=-ax+2ay+3azB=3ax+4ay+5azC=2ax-2ay+7az

Q: Find the equation for the plane through the point Po = (2,3,8) and normal to the vector n= 3i + 8j +…

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Q: Describe the span of the given vectors (a) geometrically and (b) algebraically.

A: Given :           The vectors are 10-1 , -110 , 0-11   To describe the span of the given vectors…

Q: Determine whether the given vectors are perpendicular. = (0, –7), 3 (8, 0) y = O Yes O No

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Q: Sketch the vector w on the grid on the right and label its coordinates. Vectors and + w are…

A: First write this in vector form then put this on the graph.

Q: (a) Prove that the planes 4.x – 2y + 6 = 0 and y – 4z – 13 = 0 intersect each other. (b) Find the…

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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 a unit vector perpendicular to plane PQR determined by the points P(-3, 3, -4), Q(4, -1, - 23),…

A: Given query is to find unit vector perpendicular to PQR.

Q: Find the direction vector in the same direction of the subtraction vector of theses vectors A = 4ax…

A: We have to find the direction vector in the same direction as the subtraction vector of the vectors…

Q: Find equation of Plane that an contains the vector: and 1-6 and Z=36

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Q: Find a non-zero vector & perpendicular to the vectors v = x = ► 3 H and u = 4

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Q: Find a vector v that is perpendicular to the plane containing 3 -() 6 and 0 2

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Q: The plane through the origin that contains the vectors i - j and j - k

A: Given vectors are i - j and j - k. The plane is passing through given vectors i.e. 1i - 1j+0k and…

Q: Find the value of c that will make the vector 2 lie in the span of 0 2 and

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Q: V. 3. V3

A: We have to solve given problem;

Q: Find a vector perpendicular to the 2-space line: Qx - Ny + R = 0

A: Please see the below picture for detailed solution.

Q: Find the equation for the plane through the point Po = (2,10,7) and normal to the vector n = 9i + 2j…

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Q: Q3 find 1)angle between two vector. 2)projection of vector A&B. A = 2i + 2j - K B = 4i-6j + 4k

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Q: Use the vectors u = (2, 2), v = (-5, 1), and w = (2, -2) to find the indicated quantity. (v - u) -…

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Q: describe the span of the given vectors a)geometrically b)algebraically

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Q: (a) For the vectors d = (2, p, 8) and b = (q, 4, 12), determine values of p and q so that the…

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Q: Find the projection of the vector v onto the vector w if v = 2i + j and w = 6i + 3j

A: we have given v and w vectors . We have to find the projection of the vector v onto the vector w

Q: A = x6- y9+z3 B = x6- y3+z9 C = x 2- yl-zl For the given vectors A,B, and C show that whether C is…

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Q: Consider the vectors V1, V2, V3, and b. V1 4 V2 = 5, V3 6 ,b = 7

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Q: Write the vector v= 1 as the linear combination of vectors --0 w =

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Q: 1. (a) Calculate the dot product of the two vectors (b*) Find the value for c for which 2 and [2] C…

A: Calculating the dot product of two vectors

Q: State the condition that the two vectors i and y are perpendicular. Find the value(s) of k such that…

A: If two vectors are perpendicular to each other, then their dot product is equal to zero.

Q: Find the angle θ between the vectors.u = (−4, 1), v = (5, 0)

A: u = (−4, 1), v = (5, 0)

Q: Perform the following operations on the vectors ū = (5, –2, 1), v = (-1, –2,0), and (3, 3, –4). w =…

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Q: Determine whether the vector v = 8 is spanned by the vectors and 3 or not.

A: Given three vectors and we have to find if  v=789 is spanned by111 and 123

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: Let a = and b = -2 be two vectors. What is Ja2|b|2 - Ja b2 ?

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Q: Find three vectors v1, v2, v3 such that (1) any two span a plane, and (2) Span{v1, v2, v3} is also a…

A: Span of two vectors is a plane

Q: Suppose vectors u and v lie in the xy-plane (the z-component of each vector is zero). Now suppose…

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Q: Find the distance of point A(2/3,2) from the line that passes through the origin and parallel to the…

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Q: Let b = 4i + 3j and c be two vectors perpendicular to each other in the xy-plane. All vectors in the…

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Q: Find a unit vector that is parallel to the line x=1+2t, y= 1-3t, z= -2+t. 3 i+ 14 रंचा रत्र 1 -k 3…

A: Given line is                                           x=1+2ty=1-3tz=-2+t Point on the line is (1,…

Q: Find the acute angle between the two vectors A = 2a, +a, + 3a, and B = ax – 3ay + 2a, by using the…

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Q: Q1) Sketch the vectors in a,b,c, and d using the provided figures A) a. u + v b. u + v + w C. u - v…

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