Find the area of the parallelogram that has the following vectors as adjacent sides. u =< 3, –1, 5 > & v =< 2, –4, 1>

Q: The following diagram shows the parallelogram ABCD. B A D Let AB =p and AC=q. Find each of the…

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Q: Find the dot product of the following vectors →uu→ and →vv→.. Refer to image below →uu→ ⋅⋅…

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Q: Find the area of the parallelogram that has the vectors as adjacent sides. AB= 6i + 6j - 6k, AD = 6i…

A: NOTE: Refresh your page if you can't see any equations. . given vectors are find the cross product

Q: For what values of b are the vectors and orthogonal?

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Q: The volume of the parallelepiped determined by the vectors a =,b = and c = is: (A) 12 (B) 6 (C) 24…

A: The given vectors are a→=3,4,5, b→=2,1,-1 and c→=3,2,1

Q: Find the value of a so that vectors U = ai + 3j and V = 9i + 9j are perpendicular. a =

A: Given: U=ai+3jV=9i+9jθ=90ο

Q: Find the dot product of the following vectors u and v.

A: There are two ways to multiply two vectors The dot product produces a scalar quantity It has no…

Q: Let ā = 2 and b a) Find the area of the parallelogram formed by the two vectors.

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Q: Find the angle between two vectors, 6 and 8 units long, when their resultant is (a) 10 units long…

A: Given: The angle between two vectors, 6 and 8 units long

Q: Use component method to find the magnitude and direction of the resultant of the following vectors:…

A: Consider the given information. Let's consider the vectors and make the graph for the given vectors.

Q: Find the dot product of the following vectors u and 7.

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Q: Use the polygon law of addition to draw the resultant vector ( å + b) + ở for the following yectors.

A: The given vectors are added

Q: Find the value of z of vector A= 3i +3j+ zk if ß = 59.04° and y = 46.686° %3D

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Q: The volume of the parallelepiped determined by the vectors a =,b = and = is: (A) 12 (B) (C) 24 (D)…

A: Volume of parallelopiped

Q: What is the angle of vectors A=5m West and B=15m 60° North of West?

A: The vector A can be written as: a=-5i The vector B is 60 degree north of west that means it makes an…

Q: Compute the dot product of the two given vectors: 27 1 3. Answer:

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Q: Find the angle between vectors: a = 51-4j+2k and, b= 41+3)+2√5k

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Q: Find the angle in degree between the two vectors as indicated in the rectangular box of dimension…

A: *to find:- angle between the vectors u &amp; v.

Q: Find the direction cosines of the vector v = 2i−4j + 4k, and approximate the direction angles to the…

A: `The given vector is v=2i-4j+4k

Q: Find the cross product of the vectors ä = and b = .

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Q: Find the angle between the vectors v and w v = (2, 1, 3)T , w = (6, 3, 9)T

A: We need to find the angle between the two vectors.

Q: . Given two vectors = w a = a2 show that

A: Given w→ = w1w2w3a→ = a1a2a3 We know that the cross product of w→ and a→ is w→×a→ = ijkw1w2w3a1a2a3=…

Q: Let C and D be points with position vectors c and d respectively. If |c| = 5, \d| = 7 and c·d = 4,…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: 2. Find the unique unit vector that bisects the angle between ī = 31 + 43 and w = 51 – 127.

A: The angle bisector is determined by the formula,

Q: Find the dot product of the given vectors. ü =-i +5j v=-6i-2j u. v =

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Q: Consider the graph provided find the length of the vectors u and i

A: Solution and Explanation is given below....

Q: Find the x and y components of the following vectors: show complete solution 10 J , 45 east of…

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Q: Find the dot product of the given vectors ü=, ö=

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Q: What is the angle of vectors A=5m South and B=15m 60° South of West?

A: `Vector is a quantity that has magnitude as well as direction. So we need to find the angle of…

Q: If the two vectors are in the following figure, find an area parallelogram A=i+j-k B=2i-2j+2k

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Q: Find the area of the triangle with two sides given by the vectors a = i – j+ 4k, and b = 2i – 4j+1k

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Q: Use the cross product u x v to find the obtuse angle between vectors u and v, where u = i +8j + k…

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Q: For the pair of vectors, find 4U +3V. %3D

A: In a product of one vector with a scalar quantity, the scalar quantity is to be multiplied with all…

Q: What is the area of the parallelogram formed by vectors A = 3ax -ay +2az and B = ax -2ay + 2az * O…

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Q: Find the value of a so that vectors U = ai + 6j and V 5= 9i + 12j are perpen dicular.

A: Our Aim is to find the value of a so that the vectors U=ai^+6j^ and V=9i^+12j^ are perpendicular.

Q: Given the vectors a=(1,2,3) and b=(1,−1,2), what is the dot product a⋅b⋅a?

A: Solution :- let a = (x1, y1, z1) and    b = (x2, y2, z2)  be any two vectors then their dot product…

Q: If r is equal to 300 mm, Find: 1.) Rectangular form of r in ft 2.) Unit vector of r

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Q: For what values of b are the vectors (–88, 6, 7) and (b, b², b) orthogonal? Answer (separate with…

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Q: Find the angle in degree between the two vectors as indicated in the rectangular box of dimension…

A: The dimension of the given box is 1×2×3.

Q: Ā = i+j- 2k B = -i +j+4k

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Q: Which vector is not collinear with [c, d]? O [2c, 2d] O(-c, -d] O [10c, 10d] O [d, c]

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Q: 10î - 4ĵ +7 k̂ and B =

A: Find the dot product A∙ B and its angle of the given vectors: A = 10î - 4ĵ +7 k̂ and B = -2î +ĵ +…

Q: Find the dot product of the following vectors u and 7. ū u v =

A: We can find the answer as below.

Q: Q3/the parallelogram is determined but the vectors KL = and KN =, so the area of parallelogram KLMN…

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Q: За. й —; й —

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Given the three vectors A, B, and D, show that A (B +D) = (A · B) + (A · D).

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Q: Given the vectors v =i+ 3j – 2k and w= 3i – 4j + k. Find the area of the parallelogram with sides…

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Q: Find the vectors T, N, and B at the given point.

A: Given vector and a point To find tangent vector T(t) use formula