Given that (A x B) x (C x D) = [A,C,D]B - [B,C,D]A, derive (A x B) x (C x D) = [A,B,D]C - [A,B,C]D The bold letters represent vectors. This is working with the vector identities

Q: Describe the relationship between the point (3, 11) and the vector (3,11).

A:

Q: Explain how vectors written in component form are added or subtracted.

A: Vectors written in component form can be added by adding the corresponding components of both the…

Q: Let 2 = (-8,1) and To (-7, -2) Compute the following vector B Prijz To projections.

A:

Q: How do you know what the vector b is?

A:

Q: Draw the vector to show: (а) (b) (c)

A: A→ = AxAy , This is the representation of vector in matrix form. These type of matrices are called…

Q: Define zero vector.

A: Define zero vector.

Q: How do I teach students to map coordinates on to vectors?

A: I am assuming that our discussion is restricted to 2D geometry. A typical vector will have a…

Q: What is the zero vector?

A: We have to define

Q: 2 Let a = -1 | and b = 1 | be two vectors 1 What is |al2|b|2 |a · b[? ?

A: Let us consider the vector v=x1,x2,....,xn then the magnitude of the vector is obtained as…

Q: For the vector, find V v = (-5, 3) v= -V 4V = || -V, and 4V.

A: Given : 1)V=-5,32)V=2i+6j   To Find : 1) 12v2)  -v3)  4v

Q: How do you determine if two vectors are orthogonal?

A: If we are given two different vectors , then they are orthogonal if they are  perpendicular to each…

Q: Find a vector a that has the same direction as (-8, 5, 8) but has length 3. Answer: a =

A:

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: Let u= and v=. Give two vectors that are perpendicular to both u and v.

A: Consider the vectors

Q: Find the dot product of vectors and .

A:

Q: how can i learnd about vector in r2 and r3?

A:

Q: For any vector v in ℝ3, explain why v × v = 0.

A: Given v∈R3 v×v=0

Q: For any vector v = (a, b, 0), where a and b are any nonzero real numbers, Select one: True False vok…

A: Here I have written the notion, I have used in my solution

Q: Find the unit vector with the opposite direction of a⃗=(8,−10,3,−1,9,3)

A: We have to find the unit vector with the opposite direction of a→=8,-10,3,-1,9,3.

Q: Find a unit vector u in the direction opposite of (-1,-9, –7). | u =

A: First we find the vector of the same magnitude in the opposite direction of the given vector and…