Th arc length function for the vector function F) - (3+71)i+ (7+41)j %3D O a. G(s) 7. 3+ 7+ sk 90 %3D 90 O b.- )3+ 4 si+7+ 90 sk 90 %3D O C.- G(s) = 3+ 5 sk 17 4 si+7+ %3D O d.- G(s) = 3+ 4 si+7+ 90 s k 90 %3D 90 O e.No correct answer

Q: Qe A) Find the vector 5 unit length in the direction of vector perpendicular to the iHane which…

A: We have to find the perpendicular vector first.

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A: Given linear transformation is Tv1, v2, v3 = v2-v1, v1+v2, 2v1 and v = (2, 7, 0),  w = (-5, 1, 6)

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A: To express the given parametric equations of a line by using bracket notation and also using  and…

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A: We have to write the x,y form of vector v.

Q: Find a vector G with curlG = sin xk.

A: Let F → = d1i+d2j+d3kThen curve F → =∇xF → =ijkddxddyddzf1f2f3Let us consider G→ = g1i+g2j+g3kThen…

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A:

Q: Which shows the image of the figure under a translation by the given vector? ADEF with vertices D =…

A: In this question we have to find which graph best describe the translation when vector is given.

Q: 3. (Sinx, Sinzx, 4. for the given vectors find the value of normalize W+V π = (1, 1, 3) V = (3, 1,…

A:

Q: Describe the curve represented by the vector-valued function r (t) = (2 cos t) i +tj + (2sin t) k…

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Q: u = 3i - 5j + 2j and v = 7i + j -2k find the vector projection of u onto v

A:

Q: Let   uequals=2i−j​, vequals=4i+j​, wequals=i+2j   Find the specified scalar.   ​(4u​)times•v…

A: The objective of the question is to find the dot product of the vectors (4u) and v. The dot product…

Q: Pp: In Vu CR) find all vectors which is orthoyonal to u=(-1,l,-2,3)

A: Consider the vector  u=−1,1,−2,3

Q: 6. Vector, scalar or meaningless? Explain. ») (ä - 5) + (7 - E) b) (å x 5) – (¿ x đ) c) dlã x )

A:

Q: Pls solve this question correctly in 5 min i will give u 2 like instant

A:

Q: For the vectors u = (1,1,1,2) and v= (2,-1,-3,1), (a) Find the dot product v Number (b) Find the…

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

Q: Part I. Vector a'(0,1,0), b (1,0,1) calculate (2 points for each question, 10 points in total) (1)a+…

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Q: example of a vector equation for a line in 3 dimensions which doesn’t intersect the plane at z = 0

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A:

Q: -> If the projection of a = i-2 +3k on b = 2î+ ak is zero, then the value of 2 is (A) (B) 1 - 2 (C)…

A: Use the dot product to find the projection.

Q: Express the given parametric equations of a line using bracket notation and also using i, j, k…

A: we need to express the given parametric equations using bracket notation and also i,j and k…

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Q: 0) Any u unit vector and each (a, b) for the point, D_ƒ (a, b) = − D₁ƒ(a,b) True False

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Q: Consider the four vectors in R4 2 -0-0-0-0 V3 = V1 = 2 1 2 3 = 2

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Q: Consider the R³ vectors v₁ = B. 3 23 V2 = 2 H -1 and v3 = D 3 (a) Find a linear dependence…

A:

Q: Let   uequals=22iminus−j​, vequals=44iplus+j​, wequals=iplus+22j   Find the specified scalar.…

A: The objective of the question is to find the scalar product of the vectors (4u) and v.

Vector Arithmetic

Vectors are those objects which have a magnitude along with the direction. In vector arithmetic, we will see how arithmetic operators like addition and multiplication are used on any two vectors. Arithmetic in basic means dealing with numbers. Here, magnitude means the length or the size of an object. The notation used is the arrow over the head of the vector indicating its direction.

Vector Calculus

Vector calculus is an important branch of mathematics and it relates two important branches of mathematics namely vector and calculus.