For the three vectors a, b and C , it is found that à•bxT = 0. Which statement below is true? %3D

Q: Which ONE of the following formulas involving vectors a, b.c, a # 0 is meaningless? A. B. Oc. (a…

A: We have to find which formulas involving vectors  a→,b→,c→ and vector a→ does not equal to zero…

Q: Find the area of triangle with the vectors p(0,1,4),0(-5,9,2) and R(7,2,8) А: 30 B: 40 С:35 D:45

A: Given: Vertices of triangle          P0,1,4O-5,9,2R7,2,8…

Q: Which of the following vectors are parallel to v = (6, 9) and whichpoint in the same direction?…

A: Given: v=6,9 and point -6,-9 in the same direction

Q: Compute the indicated vectors and also show how the results can be obtained geometrically. b-c

A: Given: b=23, c=-23

Q: For what values of b are the given vectors o , (smallest value)

A: Let m→=-12, b,3 and n→=b, b2,b  If m→ and n→ are orthogonal.

Q: For which value of a , the vectors î +} – k , î – 2î + 3k and 3î + a ĵ+ 5k are coplanar? -3 O 3 O 4

A: The given three vectors are                                              A→=i^+j^-k^…

Q: use your understanding of head to tail construction to simply the following statement down to a sum…

A:

Q: For the vectors a = (3, 12) and b = (6, 9), find orthab. orthąb =

A:

Q: Given three vectors, u, v, and w, if u (v x w) = 0, what geometrical result can be concluded?

A: We have to conclude the result of u→.(v→×w)=0→.

Q: if these vectors A = 4i – 2j + 4k and B = 4i + 5 j

A: we have ;  A→=4i-2j+4k ............(1)B→=4i+5j+0k  ...............(2)

Q: Given the following vectors: u=(1, 2,-4) and v=(2, 3, 5) Find:

A: (a) The angle between the two vectors u and v is computed by the following formula. cosθ=u·v|u||v|…

Q: What is the area of the parallelogram formed using the vectors below as 2 sides of the…

A: First we will find out the vectors from the graphs ,

Q: Given the three vectors A = (3, 1, 1), B = (2, -1, 1), C = (0, 1, 2), find (AxB)xC %3D

A: The vector can be multiplied using the scalar product or dot product and vector product or cross…

Q: Find the angle in degree between the two vectors as indicated in the rectangular box of dimension…

A: *to find:- angle between the vectors u & v.

Q: If à = 2a, + 2a,y – a, and B = 3a, + 2a, – 6a, are vectors, find (a) Ả ·Ē (b) Ả × B (c) Angle…

A:

Q: Use the given vectors v = -8i - 3j, w = -10i - 5j to find v.w and v.v

A: Given          v=-8i-3j ,          w= -10i -5j

Q: Given that the vectors a=(6,-1,2k)  and b=(-1,k+1,4) are perpendicular, what is the value of k?

A:

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

A: we will use dot product of two vector.

Q: Given perpendicular vectors a = (5,3,-1) and 6=(2,2,k), find ||||.

A: Given perpendicular vectors a→=5, 3, -1,     b→=2, 2, k   To Find: b→

Q: Add the given vectors by components. A= 366, 0, - 232.3° B%3D226,0,3D296.6

A:

Q: List as many equal vectors as possible for the diagram below: A B D E с

A:

Q: Given the vectors a = (−2, −5, −3) and b = (1, −4, 2), find 1.  5a − 1/3 b. 2. The length of a.

A:

Q: given the following vectors, find A * (B x C) A = [x]j - [y]k B = 2i + 3j Зі - 6k| %3!

A:

Q: Consider the points A=(1,2,3), B=(-2,1,0), and C=(0,3,1). Adding the vectors, find 2AB+3AC.

A: To find 2AB +3 AC

Q: The angle between the vectors a=(2,6) and b=(3,-1) is :إختر أحد الخيارات а. 4 b. С. 3 d. 2

A: The required angle is, option (b) π/2 The detailed solution is as follows below:

Q: For what values of a are the vectors (4, -2, a) and (9, a², a) orthogonal? O -6 and 6 0 O -2√3 and…

A: Equate dot product of two vectors to zero

Q: For what values of b are the given vectors orthogonal? (Enter your answers as a comma-separated…

A: To determine the value of b.

Q: What is the area of the parallelogram formed using the vectors below as 2 sides of the…

A: What is the area of the parallelogram formed using the vectors t̄ and s̄ as 2 sides of the…

Q: 7) Given the vectors å ,b and č in 3d. Identify which of the following operation is possible or not…

A: Dot Product of vectors is equal to the product of the magnitudes of the two vectors, and the cosine…

Q: in the same sets of axis express the following vectors a=i+j, b=-1+j, c=a+b, d=2a,and e=a-b

A: The vectors are:-

Q: Find the angle in degree between the two vectors as indicated in the rectangular box of dimension…

A: The dimension of the given box is 1×2×3.

Q: 2 Given the three vectors A = 2i +j, B = i+ k, and C = 4j, find the following (a) A. (B + C) and (A…

A: Given vectors: A=2i+j+0kB=i+0j+kC=0i+4j+0k

Q: For what values of b are the given vectors orthogonal? (Enter your answers as a comma-separated…

A: To determine the value of b for which the below vectors are orthogonal. −27,b,2, b,b2,b

Q: Use the given vectors v = -6i - 5j, w = -10i - 8j to find v.w and v.v

A:

Q: For what values of ai are the vectors [a1,4,3] and [3,-2,12] are a) orthogonal? b) Parallel? c) Have…

A: This question is taken from the vector in which we have to find the value of a for the different…

Q: Given vectors a, b E R" for integer n > 1, show that ||a + b||? + ||a – b| = 2||a||? + 2||b||? What…

A:

Q: Use the given vectors v = -8i - 3j, w = -10i - 5j to find v . w and v . v.

A: Consider the given vectors v and w. First calculate the dot product for v and w.…

Q: 10î - 4ĵ +7 k̂ and B =

A: Find the dot product A∙ B and its angle of the given vectors: A = 10î - 4ĵ +7 k̂ and B = -2î +ĵ +…

Q: The angle that the x-axis make with the plane containing the following two vectors is A = 4â – 3 B =…

A: To find the angle

Q: For the vectors: (6, –5) and V = (-1,4) U = Which of the following is the correct value of: |3 7ỉ –…

A: Here we have to find |3u - 2v| using given u and v vectors

Q: For what values of a, b, and c are the vectors; Equal?

A: Given: 2a-ba-2b6, -22a+b-2c

Q: Given 2D vectors a and b such that |a|= 7 and |b| = 8 find the angle between the vectors if: a) |a…

A:

Q: Perform the following operation with the vectors а3(2. о, з>. ь-(з. 1, 2) %D |2a– 3b|

A: Given that: a=<2, 0, 3> and b=<3, 1, 2>

Q: Given the three vectors A, B, and D, show that A (B +D) = (A · B) + (A · D).

A:

Q: For what values of a, b, and care the vectors (2a-b,a-2b,6) and (-2,2,a+b-2c) equal?

A: The given vectors are 2a-b,a-2b,6 and -2,2,a+b-2c . Note that, two vectors are equal if their…

Q: 2. The diagram below was created using equilateral triangles congruent to ABSR. If OS=ā and OT=b),…

A: The given figure is:

Q: In the following diagram, the rectangle ACEG is divided into four congruent rectangles. F E a) List…

A:

Q: For the given vectors a and b, find the cross product a × b. a = (1, 0, -3), b =(3, 4, 0) axb=

A:

Q: o -3 - 5 ↓ 2 buy on IN A 65 US

A: We have to find out the components of the addition of the two vectors, that is, w→+v→.

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.