(b) Check whether u = 6i – 2j+k and v = = -4i – 3j+9k are parallel or not. Then, find the area of triangle between both vectors.

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 14j as…

A: ANSWER IS GIVEN BELOW.

Q: a) Let a = 2i – 3j + xk and b = -3i + j + xk. Find the values of x for which vectors a and b are at…

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Q: Find the angle a between the vectors -5 and

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Q: Find the angle between the vectors ū = 5i – 5j +k and v = 2i + 16k.

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Q: [:] [] Find c so that the vectors and are parallel.

A: Find c so that the vectors c4 and 25  are parallel. Let u=c4 and v= 25 be two vectors. Two vectors…

Q: Find a non-zero vector B' which is perpendicular to A'= 2i'-3j'.

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Q: Let u =j- 3k, v = - 9i + 3j – 3k, w = 3i -j+ k. Which vectors, if any are (a) perpendicular? (b)…

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Q: b) Consider the vectors a = 3i - 2j+7 K, and b = -5i +4j-3k, find 1-a.b 2- Angle between a and b. 3-…

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Q: What is the area of the parallelogram formed by the vectors v = (1,0, 1) and w = (0, 2, 2) tail to…

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Q: Find the angle between the vectors u = 2i +j+9k, v = 6i – 12j and sketch the vectors and the angle…

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Q: For what value of (a) will the vectors V=-4i-8j+ak, U=2i+4j-5k are parallel?

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Q: Two vectors (M = 4ax-bay) and (N = 6ax-2ay-Saz), find the vector perpendicular to these vectors?

A: Given Vectors are                                                 M=4ax-6ayN=6ax-2ay-5az vector…

Q: Find the unit vector in the same direction as v = 2i - 3j -6k

A: Given vector is v=2i-3j-6k. To find the unit vector in the same direction of the given vector.…

Q: Find the value of b so that vectors U = 5i +12j and V = 4i + bj are perpendicular.

A: Given :          U=5i+12jV=4i+bj

Q: use the vectors v=-2i+j and w=4i+3j to find: -v + 2w

A: Given vectors are, v=-2i+j and w=4i+3j.   The objective is to find -v+2w.   First, find -v as…

Q: Find (a) the dot product of the two vectors and (b) the angle between the two vectors.

A: a) Given: v1=<-3,6>,…

Q: For what value or values of a will the vectors u = 2i + 4j - 5k and v = -4i - 8j + ak be parallel?

A: Given,

Q: The angle between the vectors i + 2j + k and 3i+ j - 5k is

A: Given: Let, A=i+2j+kB=3i+j−5k

Q: Find the angle a between the vectors and -3

A: The question is from the topic of vector algebra

Q: Find the cross product of the vectors a = 2i + 3j – k, b =i- 2j + 2k.

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

Q: Find (a) the dot product of the two vectors and (b) the angle between the two vectors.

A: (a) the dot product of the two vectors a(-2,5) and b(3,6) a · b = ax · bx + ay · by = -2 · 3 + 5 ·…

Q: (a) Find the area of the triangle with adjacent sides representing the vectors 2i – j + 3k, and i+…

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Q: Find the unit vector that has the same direction as the vector v = 8i - 6j.

A: Given vectorv=8i^-6j^

Q: Find the median AD of the triangle ABC where positive vectors of the vertices A, B and C are…

A: Vertices of the Triangle ABC given A=i+j,B=4i+6j,C=i-j; Hence, We can take these vectors as the…

Q: 2. Consider the two vectors a and b, as graphed below. 2a Plot the result of a +b on the same axes.…

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Q: What is the dot product of the vectors a = 4i + 3j and b = -3i + 4j?

A: Solution is given below:

Q: Find the angle between the two vectors u 2i+ j-7k and v =i-j+ 4k

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Q: Find the angle between the vectors a 0 = and b = 2i+j - 4k. 10i - j - 5k

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Q: Determine if the vectors v = 3i i, and w = 2i -6j are parallel or not. Explain.

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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: Find (a) the dot product of the two vectors and (b) the angle between the two vectors.

A: The vectors 4i^-j^, -3i^+2j^

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: Find (a) the dot product of the two vectors and (b) the angle between the two vectors.

A: Given: 6j, -4i

Q: Compute the dot product of the vectors v and w, and find the angle between the vectors. v=−10i+j and…

A: Compute the dot product of the vectors v and w, and find the angle between the vectors. v=−10i+j and…

Q: Find (a) the dot product of the two vectors and (b) the angle between the two vectors.

A: 10,7 and -2,-75

Q: how is C equal to the difference of vectors A and B?

A: Dear user, Please read the question. We need to express Vector A in terms of sum of  B and C.

Q: Find the angle between the vectors u = 3i + 2j + k, v = 2i − 3j (a) in radians and (b) in degrees.

A: Vector: u=3i+2j+k v=2i-3j u=<3,2,1> v=<2,-3,0>

Q: The value of A for which the vectors 2i- 4j + Ak and 3i- 6j + k parallel are

A: Given the two vectors Let's say v1 and v2 v1= 2i-4j+lemdak v2= 3i-6j+k

Q: Check whether u = 6i – 2j+k and v= -4i – 3j+9k are parallel or not. Then, find the area of triangle…

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Q: Find the angle a between the vectors 3 2 B [B] and -4 -3

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Q: Find the angle between the vectors i + j + 2k and 2i - j +k

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Q: Find (a) the dot product of the two vectors and (b) the angle between the two vectors.

A: a) If u and v are two-dimensional vectors, we calculate the dot product as   u=(u, u2) and v=(v1,…

Q: Find the angle a between the vectors 日- 2 and a =

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Q: Find the cross products uxv and vxu for the the vectors u=2i-j-2k and v= i +3j-2k.

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Q: Find the cross products uxv and vxu for the the vectors u = 3i-j-2k and v=i+2j-3k.

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Q: Find the acute angle between the two vectors A = 2a, +a, + 3a, and B = ax – 3ay + 2a, by using the…

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Q: Find the angle between the vectors u = - 5i – 3j and v = 6i + 2j + 5k.

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Q: Find the angle 0 between the vectors a = 8i – j– 4k and b = 2i+j- 9k. %3D

A: A vector is a mathematical concept with both magnitude and direction. It's used to describe things…

Q: R) Find the area of a triangle formmed from the two - = c'+2j=k-- - 2i-jtuk. Vectors-a- 6 = 2i-j+4k,

A: Given: a=i^+2j^−k^b=2i^−j^+4k^