3. Determine the following for the vectors: p = [2, 3, 6], q= [1, 5, 4]. a) p - 2q b) p q c) px q d) lpl

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

A:

Q: Given the following vectors, calculate 5u + 3v. Answer u = (7,0), v = (-8, 10)

A:

Q: 3. Determine the following for the vectors: p = [2, 3, 6], q= [1, 5, 4]. a) p - 29 b) p q c) px q d)…

A:

Q: VF 1. Consider the following vectors: t =, u =, w =. a. Find the following linear combination of the…

A: For any vector u-> =<x,y> ,is the vector whose initial point is (0,0) and terminal point is…

Q: For the vectors u=−1,4 and v=−4,2​, calculate projvu and scalvu.

A:

Q: Given the three vectors å ,b and ở in 3D. The following question is t termine if operation involving…

A: We can solve this as follows:

Q: Which property of vectors is incorrect? a. â× b = -b ×â xã C. a. (b + c) = a + (b + c) b. (a + b) +…

A: I am attaching image so that you understand each and every step.

Q: Given the vectors s= (-5, 1) and t=(-9, 2), find 3s and s+t. %3D Write your answers in component…

A: Given : s=-5,1t=-9,2

Q: 4. Given vectors: =(4,9), v = (-8, 15) and w=(2, 10) a) Show that and w can span R².

A:

Q: Let a = (8,-6,7) and b = (-1,4, -3) be vectors. Compute the following (the answers to A, B, C are…

A: Given vectors  a = <8,-6,7> b=<-1,4,-3>

Q: Given the following vectors, calculate -5u+2v u=(7,3), V=(5,-3)

A: Given query is to perform indicated vector operation.

Q: Which of the following vectors represent a + b, if a and b are given as below? b a a) b) c)

A: Given : Vector a and vector b is given

Q: B) Use vectors to check whether the points A (1,-1,0), B (2,1,-1), and C (-1,1,2), are vertices of a…

A:

Q: For what values of c are the vectors and perpendicular?

A: we will use dot product of two vector.

Q: Say that a is a vector (nonzero) in the third dimension. b and c are two other vectors. If a x b = a…

A: Given: The statement is a×b=a×c where a, b, and c are vectors. The vector a is a nonzero vector. To…

Q: State the condition(s) that: a) two vectors can be equal vectors. b) two vectors can be opposite…

A: To state the conditions for a given vectors.

Q: 3. Calculate the angle (degrees), between vectors p = 2i +9j – 4k and q = -3i + 5j + 6k correct to…

A:

Q: Consider the following vectors: 3 9. 1 a= 4 c'= 9. -10 –10 For each of the following vectors,…

A:

Q: Find, using vectors, the angles of a triangle whose vertices are points, (A (-1,0,2), В2,1,1 С (1,…

A: To find angle between edge of given triangle we need to first find vector of each edge. Then apply…

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

A:

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→…