a. The vector component of E at P (5,rad, 3) parallel to the line x = 2, z = 3. b. The angle E makes with the surface z = 3 at the point P.

Q: Find the two values of t that would make the angle between vectors ⟨1, −2, 0⟩ and ⟨0, −1, t⟩ equal…

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Q: 1. Find DATE: NO. the rector y with base at A and base at B from the information given. Draw a…

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the value of x so that the vector i+2j+xk   makes and angle  pi/4  of  with the positive…

A: i+2j+xkTo Find: Value of x so that the vector makes an angle of π4 with the positive z axis.

Q: Let P(3,-1,4) and Q(10, 13,9) u = (2,5, -1) and v= (7,-1,2) l be the line through P along direction…

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Q: Consider the lines I = -1+2s I – 5 l1 : 3 - z and l2 : y = s 4 z = 5+s I. Find two unit vectors that…

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Q: 4. Find an equation (in point-normal form) of the plane containing the points K, M, and N. 5. Let R…

A: This is a problem of Vector Algebra.

Q: Solving the Logarithmic Equation: In(x + 2) + In3 = 2

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Q: Let ü = (– 2, 1, – 2, 1) and i = ( – 4, 5, – 1, 1). A vector perpendicular to i and v is (

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Q: 4. Given that the Cartesian equations of line L is y = 3, x + 2 =z. A(2,1,0) and B(1,4,5) are two…

A: Answer

Q: Q7. a) Consider the vectors u , v and w are defined by u = i+j ,v = i+ 4j and w = 4i – 3j i. If the…

A: Given :

Q: Find the angle between the line given by ⟨x, y, z⟩ = ⟨2t, 3t, t⟩ and the y-axis exactly.

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Q: 4.18. Given vectors u = 3j – - 6k and v = 6i – 4j – 2k, find the dot product of u and v.

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Q: Q.1. Find the components of a vector u of length 4 units in the same direction with v = 4 Also find…

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Q: 4. [6.1] If vector b is shown below, sketch a vector. a) Equal to b b) Opposite to b c) With the…

A: Solution of given question is written in below steps.

Q: Given A =(x2 y, -yz, yz?). If point T is located at (2.8,5.6,3.6), find the distance vector from T…

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Q: Q3. Prove that (only one): a-dy is a unit vector? a- %3! b- L = 6a, - 3a, + 2a, and M = 3a, + 2a, -…

A: Topic- Vector

Q: The shaded ABCD place intersects the x, y and z axes at T, S, and R, respectively. Determine the…

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Q: find the compoment form of vector v given ||v|| = 13 and the angle with positive axis is theta=300…

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Q: 3. Find the 1-parametric equation of the line in the plane passing through the vector P=[]-[9] Hint:…

A: p = [-3,2]q = [0,-3]now find parametric equation lines

Q: Define the points P(0,0) and Q(6,2). For the vector PQ, do the following. a. Sketch the vector in an…

A: Follow the procedure given below for the same type of problem.

Q: ROBLEM. 1: The velocity vector is given as V = (-2x² + 3y)i + 5yz?j + 5z²tk a) Find the magnitude of…

A: Given velocity vector is  V→=-2x2+3yi→+5yz2j→+5z2tk→   (1) Magnitude of velocity at point 1, -3, 1…

Q: 8. r(t) (sin Tt, t, coS Tt)

A: As per your query the solution of question no 8 is given in the next step.

Q: Consider the lines x = -1+ 2s x – 5 l1 : 2 3 - z and l2 : y= s 4 -2 z = 5+ s Find two unit vectors…

A: Unit vector in the direction of a vector v is  =vv Acute angle between two vector u and v is given…

Q: Find the parametric equations for the line through the point P=(-5,4,-1) that is perpendicular to…

A: The direction vector for this line is v=2,-1,-5 and it must pass through the point -5,4,-1. Thus we…