Consider the vectors: a = -11î + 10j +–12k, b = 2î + -8j + -12K, c = -7î +-10j + 10k a) Find: bxc = b) Find: a · b c) Find the angle between vectors a and b Angle = Note: Give your answer in degrees, and rounded to two decimal places.

Q: Given the vectors v and u​, answer the following: v=2i+3j−6k     u=3i+4j Find the dot product of v…

A:

Q: (a) If f(x) = (x³ − 7x + 11)(x² + 6), compute f'(1). f'(1) (b) If g(x) = = x³ - 7x + 11, compute g…

A: See this solution in below.

Q: Three vectors A, B, and C are related as follows: AB = 22180°, A + C= -5 + 15i, and C is the…

A:

Q: Given vectors: A(6.4,3), B(0.4.6) and C(8.2.1) forms a triangle. Find the angle at point B

A: Solution

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: What is the angle of vectors A=5m West and B=15m 60° North of West?

A: The vector A can be written as: a=-5i The vector B is 60 degree north of west that means it makes an…

Q: PART III: APPLICATION 5. a and b have magnitudes of 5 and 6, respectively. The angle between them is…

A:

Q: Given the vectors u and i = , perform the operations below. %3D -7-0 =

A: Solution after performing operation is given:

Q: -0-0 and V For the two vectors: U find the result of the expression: Eijkuivjek

A:

Q: Find the angle between a and b where -6a+2b=2i+j-8k and 2a-b=3i-4j+k

A:

Q: If au + bû = 0, where a and b are positive. If a = -b, what must be true of vectors ū and v? Explain…

A: The relation between a and b is a=-b. Also, the relation between vectors u⇀ and v⇀ is au⇀+bv⇀=0⇀.

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Let the following three vectors be A = 3 i +4j-7 k, B=6i-12j-21…

A: Given, A→ = 3 i +4 j -7k , B→ = 6 i -12 j -21 k, C → = -13i - 8j + k |A→| = 32 + 42 + (-7)2 =…

Q: Simplify each vector operation. a) j·(-j) b) (i ×j)·k c) (i ×j)xk

A:

Q: Vectors m and 2m have: a) the same direction but different magnitudes. O b) different magnitudes and…

A:

Q: 4 In the following, b = a = c = Calculate: a atb b c-b c 2a +b d 3c- 2b

A:

Q: Given vectors a = and b = , find 3a - 2b.

A:

Q: Answer the following A Drawa picture that represents the vector addition (61 + j) + (4i - 4j). B.…

A:

Q: Use the dot product to determine whether v and w are orthogonal. v=3i+ 3j, w = -İ+j Select the…

A: two vectorsu→=u1i+u2j  and v→=v1i+v2j are said to be orthogonal if u1 v1 +u2 v2=0

Q: What is the angle of vectors A=5m South and B=15m 60° South of West?

A: `Vector is a quantity that has magnitude as well as direction. So we need to find the angle of…

Q: Compute the dot product of the vectors u and v, and find the angle between the vectors. u = 9i +3j +…

A:

Q: Find 9a + 76, la, and la -6. (Simplify your vectors completely.) a=9i8j+7k, b =77-9k

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

Q: 1) Given two vectors as A = 2â, + 2â, -â, at point (3,60°,180°) and B =-2â, + 4â, - 4â, at point…

A: Consider the given vectors:

Q: Show with an Argand diagram that the law for adding complex numbers is the same as the parallelogram…

A: