If a = 2i – j+2k and b =i+2j – 2k, find two vectors e and d satisfying all the following conditions: (а) а — с +d (b) b-d = 0 (c) c is parallel to b

Q: Consider three vectors u = 3i +j+ ak, = 2i + bj +k, = -4i + (b – 2)3 + (b+ 8)k, where a and b are…

A: The solution are next step

Q: find the angles between the vectors:x+y=1,2x+y-2z=2

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Q: Consider the following vectors. u (6, –5) and v = (9, 1) u + v = (12, – 3) | (c) Find 7v – u. 7v – u…

A: By algebra of vectors we solve the this question.

Q: Q4 find the length for the following vectors :- a) 2i + j - 2k b) 3i - 6j + 2k c) i +4j - 8k d) 9i -…

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Q: Find a vector, w, which is perpendicular to the vectors where u = 101-20 +14k and v=-20 +10ĵ-5k W +…

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Q: Let ā= −i − 2j + 3k, b = i - 2j + 3k, c = −i +2j - 3k.

A: The given vectors .The objective is to find the vector that is perpendicular to both  and .

Q: For the pair of vectors, find U+V, U-V, and 4U+3V U= 2i+5j, V= 5i+2j

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Find the angles between the vectors: A= -2i+j-2k and B=2i-2j

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Q: Let ū= 2 + 2Ĵ - 2k and J = 2î - 2Ĵ + k. + Verify that the vectors i and I are perpendicular and have…

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Q: given u=5i+j+(a+2)k  and v= (3b-1)j +4j+ 6k  determine a,b so that v are parallel vectors

A: Given that, u=5i+j+(a+2)k  and v= (3b-1)j +4j+ 6k  We have to determine a,b so that u and v are…

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

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

A: v=-2i+j and w=4i+3j

Q: Let be two vectors, such that a=(3î+2j-2k) cm and b=(2î+2ƒ+k) cm, calculate: (A) C²=3(a¹·b¹)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 21A)The vectors A = 3i+j+ 4k, B = 2i - 3j-k, and C = i-2j+ k, find (A x B).C

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Q: Find the value of a such that the vectors a and b are perpendicular where a = a î - 16 ĵ - 19 k and…

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Q: Find the direction vector in the same direction of the subtraction vector of theses vectors A = 4ax…

A: We have to find the direction vector in the same direction as the subtraction vector of the vectors…

Q: The vectors u = (-7, 1, -2) and v = (-28, x, - 8) are parallel if and only if x = - 212 %3D Select…

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

A: (.) Given vectors are,      (.) Corss product of two vectors  and   is given by,           &…

Q: : (2,1,2). 1- Find the unit vectors u1 and u2 in the directions of v = (1,3) and w = Find unit…

A: If we have a vector u=a,b,c, then the unit vector that is in the direction of vector u is the vector…

Q: Find two different combinations of the three vectors u = (1,3) and v = (2,7) and w = (1,5) that…

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Q: 1 (a) Write the following vectors as column vectors. i. 4e₁-3e3 +22₂ - 2e₁ € R³. ii. e₂ + ₁ - 52₂ €…

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Q: Find a vector, w, which is perpendicular to the vectors where u=61-15 Ĵ + 7k and v= -19 1+53 - 5 k.…

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Q: Given two vectors a = (−2, 1, 3) and b = (3, −1, 2), does c = (−18, 7, 1) lie on the plane…

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Q: If a, b and c are three non-coplanar vectors, then find the value of a.(bxc) b.(cxa) c.(bxa) +…

A: Use the properties of vector box product as follows: a→.(b→×c→)=[a→ b→ c→]=[b→ c→ a→]=[c→ a→…

Q: Q2: If u = 2i +4j- 5k and v= -4i-8j+ak, (1) For what value or values of a will the vectors u and v…

A: Given: Q2. u=2i+4j-5k and v=-4i-8j+ak. To find: (1) For what values or values of a will the vector u…

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.