QI. If R = ti + 3 sin t j + 3 cos tk is the position vector of a particle in space. %3D Determine the Normal and Binormal vectors?

Q: Find the angle 0 between the vectors a 10i – j– 4k and |- b = 2i +j – 5k. Answer (in radians): 0 =…

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

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Q: What is the magnitude of the vector cos 0 i + sin 0j+ 1? 01 O2

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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: (B): Find the unit vector perpendicular to the vectors: 3i - 4j + 5k 4i + 5j-6k dw (C): If w = tan x…

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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: 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: 3. In the above problem, what is, ĮD|, the magnitude of vector Ď = Ä – B ? (A) 1.0 cm (B) 1.1 cm (C)…

A: Since you have posted multiple question in this question so I have solved first question as per our…

Q: H=pz Csup ap te'sin dg tpan 2 At point (1, ,6)

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Q: Table 1.2 Dot products of unit vectors in spherical and rectangular coordinate systems ar ag ay sin…

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Q: Find the angle between the vectors. (Round your answer to the nearest degree.) a = b = ||

A: Given,           The angle between the vectors a=<3,1> , b=<0,4>We know that,…

Q: Find the angles between the vectors to the nearesthundredth of a radian. u = 2i - 2j + k, v = 3i +…

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Q: Find AB and AC. (B): Find the unit vector perpendicular to the vectors: 3i - 4j+ 5k 4i + 5j-6k ; dw…

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Q: forces acting at a point P are given as 30 pounds with N10°E and 80 pounds with N 80° E. Approximate…

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Q: (a) Find the unit vector of 2q where q=(8 sin 0,-8 cos 0,0).

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Q: QUESTION 5 Resolve the vector into its x and y components. 515 NZ 136° Round your answers to the…

A: To resolve the vector into its x and y components. 515N ∠136°

Q: Question 18 Find the length of the curve with the given vector equation. r(t) = (6 + 2t 3) i + (2t…

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Q: Question 4 Let a = 2i - 3j and b = -3j + 2k. Determine: (a) a · b (b) а хЬ (c) a unit vector that is…

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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: 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: QUESTION 3 Let r(t)=(1-t?,5t,2t3). r'(3). Find the z-component of the vector

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Q: QUESTION 8 Consider the vectors u=(-1, 6, 4) and v=( -2, -4,-2). Find | -4u -6v |. (Type your answer…

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Q: Find the angle e (in radians) between the vectors. co()i - sin(); u = cos 4 v = cos i + sin 4 4 e =…

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Q: Find the angle θ between the vectors in radians and in degrees. (Round your answer for part (a) to…

A: Given u = 2i – 3j + k v = i – 2j + k |u| = (14)^1/2 |v| = (6)^1/2 Hence, u.v = |u||v|Cos theta Where…

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: If A=(rsinOcosð,-cos2OsinD, tan, Inr) at P(7,0.08 rad,4.66 rad), determine the vector component of A…

A: Given:

Q: For a vector of my oriented at 245 degrees on the hexagonal system, find the projections of this…

A: We have to find the projection of the hexagonal system on the six leads.

Q: Q3) If A -3i + 4J – 5k and B= 5i-6J +7k find the unit vector which is perpendicular to these two…

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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: PROBLEM (7): Find the outward drawn unit normal vector n to the surface (i) (x-1)+y?+(z+2)? 9 at the…

A: To find- Find the outward drawn unit normal vector n^ to the surface x - 12 + y2 + z + 22 = 9 at the…

Q: 1. Describe the vector that translates DEF to D'E'F'.

A: Given,          The vector that translates DEF to D'E'F'.

Q: The vector diagram at the below shows the displacement between the cities as AB (magnitude A - 80.0…

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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: 2/63 A partícale which moves in two-dinensional إحراثیاته' - حركه با لبوصة motion has Coordinates…

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Q: 1. Find the angle between two vectors a and b with magnitudes √3 and 2, respectively having a b =…

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Q: Question 17 Let A and B be points with position vectors u and v such that [u] = 6, |v| = 8 and u v=…

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Q: Find the binormal vector for 7(t) = (3t, sint, cos t) А. ВО cost, sint V10 10 1 B(e) = (- 3 В. ВО)…

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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: Find the angle 0 between the vectors. (c0 ST, sin S), v- (cos , sin ) 5Tt 4 COS 3 COS 4 radians

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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: If the position vector of a particle P is r(r) (3cos t,5sin7,4 cos t) a) Show that the speed of the…

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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: (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: 1. A certain velocity vector V has an X-component, V,, of 12 m/s, and a Y-component, V, of 9 m/s.…

A: To find the magnitude of the velocity vector V.

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

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Q: Express the following vectors in Cartesian coordinates and spherical coordinates 1- A = pz sin p a,…

A: Since you have posted multiple questions. I am answering the first one. Please post the question…

Q: A positron undergoes a displacement Ai = 2.02 – 3.03 + 6.Ok, ending with the position vector f3.0j -…

A: Any position vector, r→ is represented as r→=xi^+yj^+zk^ . Let two vectors be r1→=x1i^+y1j^+z1k^ and…

Q: 1. Find the angle between two vectors ā and 5 with magnitudes 3 and 2, respectively having ā-5 = J6…

A: Given,            Magnitude of a→ and b→ are 3 and 2 and their dot product is a→·b→=6.To find : The…

Q: Find the velocity and acceleration vectors in terms of u, and ug- r= 4 cos 2t and e = 5t

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