2. Let 0 be an angle between vectors w = i +3j and v = (5,2). What is cos 0? What is sin 0? 11 Answer: cos 0 = V290 13 sin 0 = V290

Q: Which of the following vectors are equal? s=(L-10), r=(a-by.1.2), u=(a-b.1.2). 1=(a-b) 1.2),…

A: the given vectors are: s=1,-1,0t=a-b2,1,2u=a2-b2,1,2v=sinπ2,cosπ,sinπw=a+ba-b,-12,2 we have to…

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

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Q: Find the angle e between the vectors in radians and in degrees. u = cos()i + sin()i, v = cos( 31 )i…

A: Given,  u=cosπ3i+sinπ3j v=cos3π4i+sin3π4j Now, we know that  cosπ3=12 and sinπ3=32cos3π4=-12 and…

Q: Let 0 be the angle between the vectors u = 2i + 3j - 6k and v = 2i + 3j + 6k a. Use the dot product…

A:

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

A: solution is given below

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 θ between the two vectors.

A: Now,

Q: 7. i and y are vectors of magnitude 1 and 2, respectively, with an angle of 120° between them.…

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Q: If θ is the angle between two nonzero vectors u and v, then cos θ = ________.

A: If θ is the angle between two nonzero vectors u and v, then    cos (θ) = (u.v)/(||u|| ||v||)

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

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Q: e angle between the vectors u = ,v= is 12 e = cos V986 7 e = cos V674 2 e= cos V431 3 0= cos-1(-…

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Q: Using the vectors P = î cos 0 + ŷ sin0, Q = î cos 9 – ŷ sin o, R = â cos 4 + ŷ sin ø, prove the…

A: (a)

Q: 8. Use vectors u = -3i - 3j, v = -li, and w = 5i + 6j %3D a. Determine the angle between u and w. a.…

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Q: 1. The position vector of a particle P of mass 2 kg at time i seconds is given by r= [(I- cos 21)i+…

A: The position vector of particle P of mass 2 kg at time t seconds is given by r=1-cos2ti+1+sin2tj.

Q: Given the: 7(t) = (cos (3t), 4t, sin (3t)) Find the folowing: show complete solution a. unit tangent…

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Q: Find the angle 0 between the vectors in radians and in degrees. - co) + sin() = cos 4 u = cos i +…

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Q: Find the vectors T, N, and B at the given point. r(t) = 7 cos(t), 7 sin(t), 7 ln(cos(t)),    (7, 0,…

A: Obtain the derivative of r(t) as shown below:

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: Find the angle 0 between the vectors. sin ). Зл v = ( cos 3N sin . 4 u = ( cos 6 4 = radians

A: Given,            u = cosπ6, sinπ6, v = cos3π4, sin3π4

Q: Find the angle 0 (in radians) between the vectors. u = cos + sin v = cos 4 + sin 4

A: Given, u=cosπ4i+sinπ4jv=cos5π4i+sin5π4j

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

A:

Q: snip

A: Given the unit vectors v, w  we have to prove :- cosα-β = cos α cosβ+sin α sin β α = the angle…

Q: 1. Consider the lines x = -1+ 2s by:- = and t2: y=s x – 5 l1 : 3 – z %3D 4 z = 5+ s а. Find two unit…

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Q: Find the cosine of the angle between the vectors with respect to the standard inner product on P2.…

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Q: 6. For the vectors ü = (4, 3) and i= (-2, 3), caleulate the following quantities. (a) la+ 레 (b) la+…

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Q: Find the angle between the vectors u = cos( /6)i + sin( /6)j, v = cos( 3/4 )i + sin(3/4 )j     (a)…

A: u=cosπ6i+sinπ6j,  v=cos3π4i+sin3π4j Now,…

Q: Find the angle 0 between the vectors. 5T u-(cos , sin S), v-(cos, sin 4) = 4 4 3

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Q: Let θ be the angle between the vectors u = 2i + 3j−6k and v = 2i + 3j +6k. (a) Use the dot product…

A: For two vectors u→, v→ in 3-space we have that:                     u→·v→=u→ v→cos θ⇒cos θ=u→·v→u→…

Q: Find the angle 0 between the vectors. (G E i+ sin (-)j u=COS V=COS i+ sin

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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: Find the angle 0 (where 0° < 0< 180°) between the following vectors. Give your answer accurate to at…

A: Vectors are the quantity that have both magnitude as well as direction. In coordinate system, length…

Q: Find the angle e between the vectors. -(cos , sin 2), v- (cos , sin. x radians

A: Given that, u=cos3π4,sin3π4 and v=cosπ6,sinπ6. It is known that, the formula for u·v=u·v·cosθ.…

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)

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Q: What are the possible angles 0 between two unit vectors e and f if ||e x f|| V? (Let 0 <o Sn. Enter…

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Q: Find the angle 0 (in radians) between the vectors. sin + sin u = cos 4 v = cos 4 + sin 4

A: Trigonometry used:

Q: (b) Two out-of-phase alternating voltages are represented by: V = 3.4sin (wt +=) and V, 1.3cos (wt…

A: The given problem is to find the sum of given vectors in the form of A sin(wt+ ϕ),we have to general…

Q: Find the angle θ between the two vectors.

A: We need to find the angle θ between the two vectors.

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: 3. What is the angle between A and B if A.B=0 4. Find (u+v) (2u-v) given that uu=4 u v=-5 and v.v=10…

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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: Consider the vector v = 8.69(cos 24.4°î + sin 24.4°j)

A: Given,           The vector is v→=8.69cos24.4°i+sin24.4°j

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: In the diagram below, a and b are vectors such thay cos0 = 1/6. Given thay a= i +j+ pk and b= 2i…

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Q: Find the angle between two vectors a = (3, 4, 0) and b= (4,4, 2). %3D O a. COS 15 1 (금) O b. CoS Oc.…

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Q: your answer as a unit vector. x synt 1300 cos (6) + 25 sin (6) + 300 cos(6) sin(6)

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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. cos…

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