The divergence of the vector G = 2i+ sin y j+ 3k is :- -8y + x3 -8y siny + cosy O Option 3 O Option 2 у + siny -8y + cos2y x3 x3 O Option 1 O Option 4 what is the curl of the vector filed v = 2x?yi + 5z2j - 4yzk -6zi + 8xyj + 2xyk -14zi – 4yzk O Option 2 O Option 4 6zi + 4xj – 2x²k -14zi – 2x2k O Option 1 O Option 3 If v-irj+2k and u-3i+2j-k then the value of (v+3u).(2v-u)- O 15 O - 18 O -15 O 18

Q: ex/IF Ā=i-j+3k and B =2 i+6j+3K Find the vector pricâ+B) and Prj (À-B).

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Q: 2. (b) Q 3 p sin фа, + p'zag +z cos ф a,

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Q: How do I teach students to map coordinates on to vectors?

A: I am assuming that our discussion is restricted to 2D geometry. A typical vector will have a…

Q: Parametrize the line that passes through the point (1,2,3) parallel to the vector v = -3i + 7k.

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Q: Find the projection of = 5 2 -7 onto the line I with vector equation = td where d = -5 -3 6

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Q: 1 5 Let v -7 -3 Justify each answer. 2 h (a) For what values of h is v in Span{v1, v2}, and (b) for…

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Q: Find the distance from the origin to the plane through the point (-6,3, -2) and having 5i - 3j° + 4k…

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Q: Why is HE vector twice of vector V?

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Q: y 3 2 1 O -1 -2 -3

A: Given query is to find the x component of the vector.

Q: Parametrize the line that passes through the point (1, 2, 3) parallel to the vector v =-3i + 7k.

A: WE know that equation of line through (x1,y1,z1) and parallel to vector ai+bj+ck is

Q: Find a vector in component form that is perpendicular to the line 3x 4y = 6.

A: To find the vector in component form that is perpendicular to the given line.

Q: how can i learnd about vector in r2 and r3?

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Q: Do the vectors ū = i+j-4k, V= -5i +3j-7k and w'= -i +4j+2k plane? 1ie in the Same

A: We have to check whether the vectors u→=i+2j-4k, v→=-5i+3j-7k, and w→=-i+4j+2k are in the same…

Q: Find u + v, u - v and 3u - 5v Then sketch each resultant vector u = (3, 6) v = (7,0)

A: Given data:- u=(u1, u2)=(3,6)v=(v1, v2)=(7,0) Find, u+v=?u-v=?3u-5v=?

Q: The terminal point of the vector v = 3i -j+ 5k with initial point (2, 5, -5) is Do not leave any…

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Q: Verify that the vector functions?

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Q: Draw the vectors in standard position in R2 with their tails at the point (2, -3).

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Q: Explain how to find a vector in the direction of the line segment from P0(x0, y0, z0) to P1(x1, y1,…

A: Initial point is P0x0, y0, z0 and the terminal point is P1x1, y1, z1.