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

Q: Find the angle between the vector through the origin & the point (1,1,1) and the component of Ā = 2i…

A: Given:-A vector passes through the origin & the point (1,1,1) A→=2i+2j-k and B→=i+j To Find:-The…

Q: 7. Draw a vector representing the following velocity. 50 cm/sec N30°w

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Q: 1. Find the angle between the following two vectors. and

A: The given vectors,  8,-5 and -9,-7

Q: 6) Find the x- and y-components of the vector ở with magnitude |ū] = 16.4 cm/s², and direction 0 =…

A: Here, magnitude is 16.4 Direction is 156.5°

Q: Given the following points, determine the vector equation defined by having point C as initial point…

A: Here, C7,π4,3 is in the cylindrical coordinate system. So, r=7θ=π4z=3

Q: n a Cartesian plane, if the position vector of a moving particle is given by ř = xi + yj, then the x…

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

Q: Q1: for the position vector cos³ (t)i + sin³ (t)j, 0<t</2. Find the vectors T, N, B and the length…

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Q: and notm ind the unit vector of V= 31 +5j -9k.

A: Given: v=3i+5j-9k To find: Unit vector of v Norm of v

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: Find cos(0) if 0 is the angle between the vectors u= 2i + 2j – k and v = 3i + 4k

A: Consider the two vectors. u=2i+2j-k and v=3i+4k It is given that θ is the angle between the vectors.…

Q: Find a vector v parallel to u=4i−3k and with magnitude ||v||=4

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Q: Given ā(t) = (1, e¬t) and V(0) = (2,1) and F(0) = (1,–1) find the position elocity vectors. %3D %3D

A: Given a⇀t=1,et, v⇀0=2,1 and r⇀0=1,-1. To find the position and velocity vectors. Solution: We know…

Q: Find cos(0) if 0 is the angle between the vectors u = 4i – 3k and v = 2i – 2j + k

A: Given,           u=4i+3k           v=2i-2j+k

Q: Let i = 47 – 10j + k %3D and y = 10i + 4j + 5k be the two vectors. Find the angle (in radians)…

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Q: 5. For the vector OP = (1,4,-2), determine the direction cosine and the corresponding direction…

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Q: Q1A)The vectors A = 3i+j+ 4k, B = 2i3j-k, find vector normal to A and In plane of A and, B.…

A: Since you have posted multiple questions. As per guidelines we"ll solve only first first question.…

Q: at Q6:- If w = xi + yj + zk nonzero vector. Then show that cos a + cos? B + cos? y = 1, where a, B…

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Q: -2i -sj+si and -i+zi are orthogonal, then

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Q: Which of the following vectors is equivalent to the vector with magnitude 2 units that is oriented…

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Q: For what value of t,if any, is the vector (1, 4t) parallel to the vector (4, - 1)? Not OA. t = -2…

A: If the Vectors u and v are parallel then u=kV , K is any scalar.

Q: 4. Given a 6= ab cos 0 and a b=Dab + a,b,+a,b, calculate the angle between the two vectors given by…

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Q: Find cos(0) if 0 is the angle between the vectors u= 4i – 3k and v = 2i – 2j + k 2 14 15 15

A: First I have written a short note , just use them and find that  Answer is 1/3

Q: 4.9. Find the vector v with magnitude ||v|| = 8 that has the same direction as vector u =

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Q: 3. Find the angles a, ß,y, which the vector Á = 3î – 6î + 2k makes with the coordinates axes and…

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Q: 1. Find a unit vector pointing in the same direction as v = 2i – k.

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Q: Find cos 0, where 0 is the angle between two vectors a = 2i – 3j + 2k, b = -2i + 2j+6k

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Q: Q1A)The vectors A = 3i+j+ 4k, B = 2i - 3j-k, find vector normal to A and In plane of A and, B.…

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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: Find the angle between the vector through the origin & the point (1,1,1) and the component of Ā = 2i…

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Q: 45° |C|=20 Find the EXACT components of the vector above using the angle shown.

A: |c| = 20 It have two component in horizontal and vertical direction.

Q: If a = i+5j + k and b = i+ 9j +k, find a unit vector with positive first coordinate orthogonal to…

A: We have to find

Q: 2.10 Express the following vectors in rectangular coordinates: 2z az (a) A = p sin o a, + p cos o as…

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Q: nd the an

A: Here we have, u→=cosπ3i+sinπ3j ........................................ (1)  v→=cos3π4i+sin3π4j…

Q: What is the magnitude of the vector cos 0 i + sin 0j +1? 00 1 O√2 02

A: We have to find magnitude of the vector cos θ i + sin θ j + 1 k  (not only 1)

Q: Q2/ what the sine of the angle between the vector d= 3î + ĵ + 2k , b= 2î – 2j + 4k -

A: Here given vector as a=3i+j+2k, b=2i-2j+4k Thus a=32+1+22=9+1+4=14 a=22+-22+42=4+4+16=24=26

Q: Which vector has the smaller magnitude: u = 3i - j - k or v = 2(i + j + k)?

A: Our Aim is to tell which vector given below has the smaller magnitude u⇀=3i-j-k and v⇀=2i+2j+2k.

Q: (b) Find a vector i that is parallel to ↑ and perpendicular to L.

A: As per your demand, we solve part b) only

Q: 1. Find the angle that the vector V = makes with the positive x axis.

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Q: Find the angle between the vectors u = 3i + 2j + k, v = 2i − 3j (a) in radians and (b) in degrees.

A: Vector: u=3i+2j+k v=2i-3j u=&lt;3,2,1&gt; v=&lt;2,-3,0&gt;

Q: 2. Given the space curve .N(77). ² B r(t) = (2 cos 2t, 2 sin 21, 31), find the unit vectors, 4

A: Consider the space curve, r→t=2cos2t , 2sin2t, 3t  To find the unit vectors T→π4 , N→π4 , B→π4 Here…

Q: Question 3 Determine which vector from the options below is in the plane: 1 I = S + tl 2 - TO Omo

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Q: Find the angles that vector D 2.5 - 8.5 + k) m makes with the x-, y-, and z- axes.

A: Follow the procedure given below.

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: 2. Find the angle between the following two vectors. and

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Q: Given the following points, determine the vector equation defined by having point A as initial point…

A: Determine the Vector equation: Convert spherical ρ,θ,ϕ to rectangle x,y,z coordinates by…

Q: Q.2 Find the vector whose magnitude is 5 and which is in the direction of the vector 4i – 3j + k.

A: Vector whose magnitude 5

Q: Q1A)The vectors A = 3i+j+ 4k, B = 2i - 3j-k, find vector normal to A and In plane of A and, B. cos…

A: According to bartleby guidelines, we are supposed to do only one question. If you want more to be…

Q: 4) Find the magnitude and direction of the vector i that has components vz -1525 and Vy -8402. %D

A: Any vector lying in the xy-plane, can be decomposed into two vectors which lie along the x and…

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.