Let U(7, 6, -5), V(2, 8, -2), and W(1, 10, o). calculate the scalar triple product U.(VxW) Answer:

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: Find the of A ABC Where the area vectors AC1,-1,1), B(2,1,1) and are cl-1,1, 2).

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Q: Compute the orthogonal projection of u onto v. Use the square root symbol 'V' where needed to give…

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Q: Find the constants c1 and c2, such that vector = c1 +c2

A: In this question, we have to find the value of constant c1 and c2 for the given condition  with…

Q: Use the scalar triple product to detemine whether the points A(1, 3, 2), B(3.-1.6), C(5, 2, 0), and…

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Q: Use the scalar triple product to determine whether the points A(1, 3, 2), B(3, -1, 6), C(5, 2, 0),…

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Q: Calculate the scalar triple product u · (v × w), where u =〈1, 1, 0〉, v =〈3, −2, 2〉, and w =〈4, −1,…

A: The vectors are, u=1,1,0v=3,-2,2w=4,-1,2 We need to find the scalar triple product u·v×w

Q: e diagonalizable?

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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: The scalar product 0v is 0.

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Q: Find the scalar and vector projections of b onto a. a = (1, 5), b = (-6, 1) comp,b proj b

A: a = 1i + 5j  b =  -6i + 1j

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

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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: Consider vectors a = (2, -8), b = (-1, 4), andc = 0. Determine the non-zero scalars a and B such…

A: Consider vectors a=(2,-8) , b=(-1,4) and c=0. We have to determine the non-zero scalars alpha and…

Q: let u =8i-4j, v=i-j, w=i+j. Find the scalars a and b such that u = av +bw

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Q: Find the triple scalar product (u x v) w of u= 4i+ 2j- j, v=8i +5j- 4 k w= 5 i + 10 j - 9 k 102 29…

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Q: Find the scalar and vector projections of b onto a. a = (1,6), b = (-7, 1) compab = projb =

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Q: If Lo and Li are parallel, then vo = is a scalar multiple of vi = . اختر احدى الدجابات

A: If two lines  L0: (x,yz)=(x0+a0t, y0+b0t, z0+c0t)And,L1:(x,y,z)=(x1+ sa1, y1+sb1, z1+sc1) Are are…

Q: The dot product of u = (3, 5, 2) and v = is equal to the scalar product of p = 31 - 5j + 2k and q =…

A: The component representation of a vector u=ai+bj+ck is  u=<a, b, c>. So the vectors u and v…

Q: Let u = 2i - 5j, v = -3i + 7j, and w = -i - 6j.Find specified vector or scalar -4w.

A: It is given that  u = 2i - 5j, v = -3i + 7j, and w = -i - 6j

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

A: Given u=2i-5j, v=-3i+7j.

Q: In each part, use a scalar triple product to determine whether the vectors lie in the same plane.…

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Q: Use the inner product (u, v) = u,V1 2u2V2 to find (u, v). + u = (6i, -i) and v = (i, 7i) (u, v) =

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Q: Compute the orthogonal projection of u onto v. Use the square root symbol 'V' where needed to give…

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Q: Find the scalar and vector projections of b onto a. a = (4,7,-4) b =(4,-1, 1)

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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.

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A: Given Orthogonally diagonalize A=abba,If b not equal to zero

Q: Suppose A = 4i − 6j, B = i + 7j and C = 9i − 5j. Find (a) scalar projection of A onto B (b)…

A: We know that The scalar projection of A on B is  A.B|B| vector projection of C onto A is A.C|A|2A

Q: Use the scalar triple product to determine whether the points A(1, 3, 2), B(3, – 1, 6), C(5, 2, 0),…

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

A: given that u=2i-5j v-3i+7j w=-i-6j

Q: Compute the orthogonal projection of u' onto v. Use the square root symbol 'V where needed to give…

A: We need to find orthogonal projection of u onto v.

Q: Find the scalar and vector projections of b onto a. a = 3i - j + 6k,     b = j + (1/2)k compab =…

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Q: Find the scalar and vector projections of b onto a. a = (-3, -6, 2), b= (3, 2, 1) compab projb=

A: Given a→=−3,−6,2 and b→=3,2,1 We have to find the scalar and vector projection of b→ onto a→. The…

Q: Find scalars a, b, csuch that au + bv + cw = = (-6,12,4) u = (-1,0,2), v = (2,2,–2), w = (1,–2,1)

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Q: If possible, find scalars c1, c2, and c3 so that

A: Consider the equation: c112-3+c2-111+c3-14-1=2-23……1

Q: 6. Use the scalar triple product to determine if the points A(1,3, 2), B(3, –1,6), C(5, 2,0), and…

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Q: Find the scalar and vector projections of b onto a. a = 3i − j + 4k,    b = j + (1/2)k   compab =…

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Q: 32) Use the scalar triple product to determine whether the points A(1, 3, 2),  B(3, -1, 6),  C(5, 2,…

A: This question is related to Vectors, we will solve it using given information.

Q: If possible, find scalars c1, c2, and c3, not all zero, so that

A: c112-1+c213-2+c337-4=000c12c1-c1+c23c2-2c2+3c37c3-4c3…

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: Let u = 2i - 5j, v = -3i + 7j, and w = -i - 6j. Find the specified vector or scalar 3v - 4w.

A: we have been given three vectors u = 2i - 5j, v = -3i + 7j, and w = -i - 6j we have to find  3v -…

Q: Calculate the scalar triple product u· (v x w), where u = (1, 1, 0), v = (2, –3, 5) and w = (4, –1,…

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Q: Find the vector, not with determinants, but by using propertles of cross products. (1 x ]) x k Watch…

A: Cross products property i x j = k           eq(1) j x k= i k x i= j And i x i=0 , j x j=0 and k x…

Q: Find the scalar product of x and y x =(-1, 0, 2) and y =(-7, 7, 3)

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Q: Find the scalar component of 6 a, +2 a,-3 a, along 3 a,- 4 a,

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Q: The dot product of u = ⟨u1, u2⟩ and v = ⟨v1, v2⟩ is u ∙ v = ________.

A: Dot Product: The vector is u=(u1,u2)v=(v1,v2)u=u1i+u2jv=v1i+v2j