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: 2. Find the angle between vector [2, -5,7] and vector [6,4,1]

A: Vector [2,-5,7] and vector [6,4,1]  We have to find angle between these two vectors

Q: Eind vnit Vector that is ortogone a O u=(!,-!,2) and V=CO,3,1)

A: Here we have to find the unit vector orthogonal to u=1,-1,2 and v=0, 3,1

Q: a line is parallel to the vector i+ 5j+3k and passes through the point P = (6, 2, 4), then the…

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Q: Write the vector u = (2,10) in i, j form. Written in i, j form, the vector u = (2,-10) =

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

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Q: What is the zero vector?

A: We have to define

Q: Vector v = <1,1,0> and vector w = <-1,-1,sqrt2>. Find the area of the parallelogram…

A: The objective of this question is to find the area of the parallelogram formed by two vectors v and…

Q: What is the dot product of a vector with the cross product that this vector has with another vector?

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Q: Why is HE vector twice of vector V?

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Q: The vector v has initial position P and terminal pet P (2, 5); Q=D (-5,-1) v 7i+ 6j Ov- 6i+ 7j…

A: Let's Solve, Answer: Option D

Q: Express the vector 12 x+ÿ. = [15] as a linear combination of a = 2 1 and y= -17 -2

A: Given

Q: Let L be the line in R3 that consists of all scalar multiples of the vector proj, ž== -0 100 . Find…

A: Given 'L'be the line in ℝ3 that consists of all scalar multiples of the vector -221. To find the…

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: Suppose (vector u)=(3,-4,-5) and Vector v=(2,-1,2)u+v=?u-v=?v-u=?3u=?(-1/4)v=?2u-3v=?I appreciate…

A: u=(3,-4,-5)v=(2,-1,2)

Q: Let V1 = 2 V2 = 0 2 V3 = 2 V4 = 3 Decide the dependence or independence of the vectors {V₁, V2, V₁}…

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Q: Find the magnitude of the vector AB with initial point A(4,-2) and terminal point B(1, -5). Give…

A: To find the magnitude of the vector AB with initial point A(4, -2) and terminal point B(1, -5), you…

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: Find the vector v, where u = (-2, 3) and w = (-3, -2). Su + w) Illustrate the specified vector…

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