2. Given the two vector combinations a+ 4b = 4i + 4j + 6k, a- 2b =i+7j + 3k, find a and b.

Q: Consider the following vectors: 17 -2 -2 u = | 2|, v w = and b 3 2 When b is expressed as a linear…

A: Here we solve the system of linear equation .

Q: Given vectors v = (3, -1) and w = 1 (-4, 6), find 2v - 2W {8, -5) (4, -5) (-5, 4) (-8, 5) (-8, -5)

A:

Q: Given the points A: (2,4,-3) and B: (2,-3,5), find the vector ā AB

A:

Q: For the vector a,b,c ∈ IR3 a+b+c=0 and ===1 then ?

A: We will first assume a=(a_1,a_2,a_3),b=(b_1,b_2,b_3) and c=(c_1,c_2,c_3).Now will will use…

Q: If the vectors a=(2,5,-1) and b3(3,-3,k) are orthogonal, the the value of k is

A: Given : a = 2,5,-1b = 3,-3,k

Q: What is the cross product of the vectorS 2i + 3j + k and 61 + 9j + 3k? Explain why your answer is…

A: Cross Product: Cross product of two vectors is the method of multiplication of two vectors. A cross…

Q: Given the vectors v=3i - 2j+5k and w=-i +4j+2k, find the following: a) 2v-w= b) V•W= ||w|| = c) 12 =…

A: v→=3i-2j+5k and w→=-i+4j+2k

Q: Suppose a,b and c are vectors then a.(bxc)= -(a.(cxb)) 0 صواب İhi O

A: We know that if a , b and c are vectors then

Q: Find the magnitude of the given vector. (2, 6, –2)

A:

Q: The cross product of the vectors a = 2i - j+ 3k and b= 4i – 2j + 6k is likely to be the zero vector…

A: If vectors are parallel then cross product will be zero check they parallel or not

Q: (€) Let a = and b = be two vectors. What is al2|b|? - |a · b|? ?

A: Given vectors are, a=2-10  and b=-111 The modulus of the given vectors will be, a=22+-12+0…

Q: Given the two vector combinations a + 4b = 4i + 4j + 6k, a − 2b = i + 7j + 3k, find a and b.

A:

Q: 1. Assume the lengths of the vectors 2a – b and a + 3b , assuming a = (2,1,3) and b = (-1,2,2)

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Given the three vectors A = (3, 1, 1), B = (2, -1, 1), C = (0, 1, 2), find (AxB)xC %3D

A: The vector can be multiplied using the scalar product or dot product and vector product or cross…

Q: (7,-2) and Perform the vector operation, given that u = v = (-4, 5). %3D 9. 2u + 3v A-n

A:

Q: 4. ABCD is a parallelogram, and E is the intersection point of the diagonals AC and BD. Name a…

A: It is given that, ABCD is a parallelogram and E is the point of intersection of diagonals. To find:…

Q: Find the magnitude of the vector AB A=(2, 7) and B=(5, 9)

A:

Q: If vector a=AB, vector b is BC, and vector c is CD, what is a+b+c using capital letters to write the…

A: Given a=AB→, b=BC,→ and c=CD→

Q: 2. If å and b are two vectors with lengths 2 and 5 and angles between 150°, respectively, obtain the…

A:

Q: Given the points A: (1,6,3) and B: (2,-3,3), find the vector ü = AB %3D

A: To find- vector u.

Q: If w = -2i + 6j, find the vector: [2(-2) + 4(-6)]w/lwl2.

A:

Q: For two vectors a and b, V

A:

Q: if vector AB =(-7i+3j+8k) and the point A= (-2,-2,6) find B

A: Given, AB =(-7i+3j+8k) and the point A= (-2,-2,6) Let the coordinates of B be (x,y,z) Now, AB = B-A…

Q: If v = 5i + 4j, find the vector 6v.

A: Consider the following vector: v→=5i^+4j^ Consider the following expression:…

Q: 4. If two vectors P = 4i + 6j - 8k and F = 6i - 8j • 4k are added together describe the…

A: As we are solving only one problem at a time please submit the other question one by one as you…

Q: Given the vectors à = and b =

A:

Q: It is known that two vectors are equal and represented by A- (2+3x)i + 11j and B- -7i + (3x + 2y)j…

A: if two vectors are equal then coefficients of I and j are same.

Q: Consider the vectors a= 2i +4j-6k, b*=-31 +k and c = 3j¯- 2k. Find a un vector parallel to - 2a…

A: Given query is to find the indicated unit vector.

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

A:

Q: 2. Given the two vector combinations a + 4b = 4i + 4j + 6k, a - 2b = i+7j +3k, find a and b.

A:

Q: If the vectors a=(2,5,-1) and b=(3,-3,k) are orthogonal, the the value of k is

A: Given : a = 2,5,-1b = 3,-3,k

Q: Consider the points A=(1,2,3), B=(-2,1,0), and C=(0,3,1). Adding the vectors, find 2AB+3AC.

A: To find 2AB +3 AC

Q: 2. If A = 2a, + 0.3a, – 1.5a, and B = 10a, + 1.5a, - 7.5a,, Show that A and B are dependent vectors.

A: The solution is given as

Q: Given vectors a, b, c, such that a = 5c + 3d and b = 2c -d, 2a -3b in terms of c and d. express

A: Given vectors, a= 5c+3d b= 2c-d

Q: For the pair of vectors, find 3U- 4V. U = (3, 2), V= (-4, 3)

A: We have to find 3U - 4V

Q: Determine the vector 8a – 7b if a = -3i + 2j – 4k and b = 5i + 6j + 2k. 8a – 7b help (vectors)

A:

Q: If v = 7i + 10j, find the vector 8v.

A: Given: v = 7i + 10j To find: The vector 8v.

Q: Use the given vectors v = -6i - 5j, w = -10i - 8j to find v.w and v.v

A:

Q: Find 2u, -3v, u + v, and 3u - 4v for the given vectors u and v. u- 31, v- 2i - 9j 2u - -3v - 3u - 4v…

A:

Q: If A =i-j+3k and B = 2i +6j +3k , Find the vector proj4 and projB

A:

Q: 4 3 Which weights should be used for b = a, vị + a2 V2 to obtain the vector b = ? 2 a1 = Ex: 42 az =

A: Solve the following

Q: The angle between vector A =4ax+5ay+6az and B = 3ax -2ay + 4az is * O 68.75 degrees O 56.62 degrees…

A: Angle between two vectors

Q: If a = 3i-j-4k, b - 2i + 4j-3k and c i+2j-k. Find unit vector parallel to 3 a -2 b +4 c. Q.1

A: Comment:  We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Find the sum of the vectors - î + 23 + k and i = - î + 23 – 2k. %3D j +

A:

Q: Which pairs of vectors are parallel? Select all that apply. OA. 10i – 15k, –4i + 6k В. 3і + 4j, —12i…

A:

Q: If ả = 2ỉ + 33, b = j – ỉ and ở = 33 are vectors in 2D, then determine the of a + 3b + c

A:

Q: Given the points A: (2,3,6) and B: (-3,-4,1), find the vector u = AB ū = < U

A: NOTE: Refresh your page if you can't see any equations. . here we have

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.