Let i = 47 – 11 and y = 4j – 10k be two vectors. Find the value of the scalar product x · y.

Q: Let x→=8i→−11j→ and y→=4j→−9k→  be two vectors. Find the value of the scalar product x→⋅y→.

A: We have to find the scalar product

Q: If the vector K ag+Lay+ Ma, shows the maximum increase rate and direction of the scalar Vat point…

A: If the vector Ka^x+La^y+Ma^z shows the maximum increase rate and direction of the scalar V at point…

Q: The dot product of two vectors Y1 Y2 and j = Yn in R" is defined by a · j = x11 + x2y2 + ...+ x„Yn-…

A: According to the given information, it is required to determine a vector in R3 that is perpendicular…

Q: Find the domain of the vector function 7(t) = (v4 – t², e-3t, ln(t + 1)

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Q: 21. Find the coordinate vector of x = with respect to the basis B = {v1, V2, V3} where vi =|1 V2 =…

A: Write x in linear combination of v1 , v2 , v3

Q: FIND THE GRDIENT VECTOR FOR THE SCALAR Function 10x2 t бху + 7уг Fix, y) = +

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Q: Let u = 2i - j, v = 3i + j, and w = i + 4j. Find the specified scalar (5v) . w

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Q: Let u = 2i - j, v = 3i + j, and w = i + 4j. Find the specified scalar u . v + u . w

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Q: Use the given vectors to find the specified scalar. u = -7i + 10j, v 2i - 8j, w = 7i - 6j; Find u (v…

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Q: Represent the vector with respect to each of the two bases { ] y = B = B2 =

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Q: Let c1 (t) = ei + 7 sin(t)j + t*k and c2 (t) = e-Sti + 5 cos(t)j – 7t*k. (Enter your solution as a…

A: Given: Let c1(t)=e5ti+7sintj+t4k and c2(t)=e-5ti+5cos(t)j-7t4k. To Find:      ddt[c1(t)+c2(t)]

Q: Let v = i - 5j and w = -2i + 7j. Find the specified vector or scalar 6v - 3w.

A: We plug v = i - 5j and w = -2i + 7j in 6v - 3w. 6v-3w=6(i-5j)-3(-2i+7j)=6i-30j+6i-21j=12i-51j

Q: The vector sum v1i + v2 j is a ________ ________ of the vectors i and j, and the scalars v1 and…

A: The vector sum v1i + v2 j is a linear combination of the vectors i and j, and the scalars v1 and v2…

Q: Determine m such that the two vectors are orthogonal.

A: Given : 4mi+j and 9m-25j

Q: Find the cross product a x b. a =j+ 9k, b = 4i - j + 2k Verify that it is orthogonal to both a and…

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Q: Let a = 2i – j - 3k and b = 3i – j-k %3D (a) C ) Find two unit vectors orthogonal to both a – i and…

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Q: #f(r) +7z +2, g(x) -r+1 find a degree 2 polynomial h(z) such that together these 3 are linearly…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Let u = 2i - j, v = 3i + j, and w = i + 4j. Find the specified scalar 5(v . w)

A: Given vectors are: u=2i-jv=3i+j and, w=i+4j We have to find the value of 5v.w Here we have to use…

Q: Let x = 8i – 5j - and y = 3j – 7k be two vectors. Find the value of the scalar product x · y.

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Q: Q2] (A) Find the surface area of the portion of the half ball with radius a which cuts off by the…

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Q: Let u = 10i + 2j, v=i+j, and w = i-j. Find scalars a and b such that u = av + bw. a = b =

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Q: Q2] (A) Find the surface area of the portion of the half ball with radius a which cuts off by the…

A: (A)Consider the given information.Let the ball is defined by the sphere and the equation with radius…

Q: Find the next vector spacing and wrap A = 1(x +y) +j + zx) + k(2 +xy)

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Q: Let u = 2i - j, v = 3i + j, and w = i + 4j. Find the specified scalar 4(u.v)

A: Given that u = 2i - j,   v = 3i + j  and  w = i + 4j. Obtain 4u·v as follows.

Q: Let u = 7i- 3j, v= i-j, and w= i+j. Find scalars a and b such that u = av + bw. a = b=

A: We will find a and b

Q: H.W 3- Find a vector V =xi +yj +k that is orthogonal to both A = 3i + j +k _and B = 3i +2j +2k .

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Q: Let c, (t) = e'i + 7 sin(t)j + t*k and c2(t) = e-Sti + 3 cos(t)j – 41*k. (Enter your solution as a…

A: Solved below

Q: Find the triple scalar product (u xv) •w of the given vectors. u= - 5i – 3j + 4k v = 9i – 10j + 7k w…

A: Given that      u = -5i-3j+4k     v = 9i-10j+7k     w = 9i-7j-3k Here we have to find the value of…

Q: Find a vector function that satisfies the conditions r"(t) = 12ti – 31-/2j+2k, r'(1) = j, r(1) = 2i…

A: We have to find a vector function that satisfies the conditions…

Q: Let u = 2i - j, v = 3i + j, and w = i + 4j.Find specified scalar (4u) . v.

A: The vector are given as, u=2i-j , v=3i+j and w=i+4j. To find: the value of 4u.v Solution: The value…

Q: Q2 Given the vectors r=3i+4j-5k and s=-2J-K, where the xyz coordinate frame is obtained by rotating…

A: The given vectors are:r=3i+4j-5ks=-2j-k We have to find the cross product r×s

Q: The dot product ol tWU veciurs Y1 Y2 and y = Yn in R" is defined by a· j = x1yh + x2y2 +... + x„Yn.…

A: Given: x=8-83 We need to find a vector y such that x.y=0. This can be done as follows:

Q: Find the scalar and vector projections of b onto a. a = 3i – j + 4k, b = j+ ÷k

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Q: Determine a scalar x so that the given vectors are orthogonal. A = xi +-j +xk 2. B =-3i +4j + xk

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Q: А. Find the domain of the vector position r(t) + t+2 (t + 2) j + In(9 – t²) k

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Q: Let u = -i + j, v = 3i - 2j, and w = -5j. Find the specified scalar or vector: 5u.(3v - 4w)

A: Given: u=-i+j, v=3i-2j and w=-5j

Q: Let u = 2i - j, v = 4i + j, and w = i + 7j. Find the specified scalar. u•v+u•w +u•w= (Simplify your…

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Q: Let u = 2i - j, v = 4i + j, and w = i + 7j. Find the specified scalar. u•v+u•w

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Q: Let u = 2i - j, v = 3i + j, and w = i + 4j.Find specified scalar 5(v . w).

A: Since, we have been given that:-u=2i-jv=3i+jand w=i+4jOur Aim is to find the specified scalar…

Q: EX -Find the. vecter.projechun.f 6+3j+2k enbo T=i-2j-2k and. the scalar.Campenout.of.in.. the…

A: Given data: The first vector is u→=6i+3j+2k. The second vector is v→=i-2j-2k. The expression for…

Q: find the derivitive, r'(t), of the vector function.  r(t)=a+3tb+t^7c

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Q: find II u II for the given exercise, and give a unit vector in the direction of u.

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Q: Find the vector projection of a force F = 5i + 2j onto v = i - 3j and the scalar component of F in…

A: The force F=5i+2j onto v=i-3j Scalar component.Let a and b be two vectors, scalar projection of the…