to loss of precision. . Show by counterexample that it is not always true that for 3D vectors a, b, and c, a x (b × c) = (a x b) x c. Circ 11el 2D 11

Q: r(t) = (x(t), y(t), z(t)) where x(t) = – 4t2 – 5t – 3 y(t) = 5t² + 5t +3 z(t) = – 5t? - | '(t) =…

A: Here, we need to find the binormal vector B. We are given that r(t)=<x(t), y(t), z(t)> where…

Q: We know that there are two ways to multiply vectors: the vector and scalar product. How about vector…

A: Vector division is not possible .

Q: I have the following vectors, I have a problem with understanding why one becomes 'a+b' and the…

A: Vectors are geometric objects with both magnitude and direction. We will consider two vectors, a and…

Q: Explain “ some combination gives the zero vector, other than the trivial combination with every…

A: The statement is “ some combination gives the zero vector, other than the trivial combination with…

Q: 0 (9) 1 What is |a|²|b²+ la · b|² ? [Please enter your answer numerically. You will be marked…

A: Product of vectors

Q: The zero vector 0 = (0, 0, 0) can be written as a linear combination of the vectors V₁, V₂, and v₂…

A: Linear Combination:       A vector V is called a linear combination of vectors   v1, v2, . . ., vn…

Q: find the diJ tance betueen the vectors

A:

Q: Is every vector in R2 a linear combination of the vectors (1,-2) and (-2,1)? Provide a detailed…

A: Let (a,b) ∈ R2 , We write the (a,b) is the linear combination of the given vector (1,-2) and (-2,1)

Q: If a vector is expressed in terms of i and j, explain how to find the scalar multiplication of the…

A: The vector quantity has both magnitudes as well as the direction. if we multiply a vector by a…

Q: (b) 4x Find any values of x such that the vectors 3 and are parallel X-1 to each other.

A:

Q: For the following three vectors are given in Cartesian coordinates: A₁ = [-4,3], A₂= [13,5], and A3…

A: The given vectors A1=-4, 3, A2=13, 5, and A3=12, 13. We have to find the values of a) A1, A2, A3 b)…

Q: 1. For non-zero vectors, a and b, show that axb =a5-(ā • 5} . %3D

A: For non-zero vectors a→ and b→ we have to show that: a→×b→2=a→2b→2-a→·b→2 Assuming, a→=ib→=j Putting…

Q: Find the cross products uxv and vxu for the vectors u = (3,4, - 9) and v = (- 1,-1,1). (Di+ k…

A:

Q: Let S be a finite set of distinct nonzero vectors in R¹2, and |S|=the number of vectors in the set…

A: given that⇒S be finite set ofdistinct non zero vectors in ℝ12 and |s|=14

Q: Identify the type of answer that results from each operation (vector or scalar). If the operation is…

A:

Q: 5 Aaron and Maya want to write the vector u = -5 as a linear comb -19 -2 1 V1 -2 V2 = 1 and V3 = 2…

A: The { v1 ,v2 ,v3 } is not a set of orthogonal vectors.

Q: Find non-zero vectors I and 7 that are both orthogonal to and orthogonal to each other.

A:

Q: 2. Find all vectors [10] [8]. so that the following vector equation can be solved for c₁ and c₂: [T]…

A:

Q: why is it not all 4 vectors span W?

A: Lets look at how span of a set is defined :

Q: The scalar multiplication of a vector by a positive value results in another vector having the same…

A:

Q: Give 2 vectors of length 7 that are parallel to (-1, 2, –2).

A: Find the required vectors

Q: If a = (4, 0, -1), find a vector b such that comp₂b = 3. b = X

A: a=<4,0,-1>ab=3ab=a→.b→a→let b=<b1,b2,b3>

Q: h 2 S4 2- h 45 LT 2 0 O

A: