(c) a = -8i + 4j + 12k, b = 6i – 3j – 9k orthogonal parallel neither

Q: Find the vector in AB R2 given in the figure. 6 AB = help 4 (vectors) 1 2 3 -1 -6 -5 -4 -3 -2 -1 6.…

A:

Q: What is the terminal point of the vector a = <1, 3> based at P = (2, 2)? Sketch a and the…

A: Consider the provided information, The component vector v=PQ→ where P=a1,b1 and Q=a2,b2 are…

Q: Are the vectors i = -5 -2), = [2 3 5 and w = [5 -2 -1] linearly independent? Choose If they are…

A:

Q: The surface of a hill is modeled by z = 100 3x – 4y2. When a group of hikers reach the point (2, -…

A: Given that, z=100-3x2-4y2And point is 2,-2,72

Q: unit

A: To get the unit vector that is in the same direction as the original vector v, we divide the vector…

Q: A parallelogram is determined by the vectors = (-2, 5) and 7= (3, 2). Determine the angle between…

A:

Q: Suppose ū = (2, 2) and ī = (8, –4) are two vectors that form the sides of a parallelogram. Then the…

A:

Q: How do you add two vectors geometrically? How do you add them algebraically?

A: To add the vectors we position them to head to tail  Then we connect the loose end points of them…

Q: 4. Find a vector that points in the opposite direction as ā =(-3,-14,2) with a magnitude of 32. 5.…

A:

Q: Find the magnitude of the projection of onto the vector

A:

Q: Which of the following vectors is the scalar multiple of z-(4, 3, -2) ? Ou- (-28, -21, -14) Ou-(-24,…

A:

Q: Find the sum of the given vectors. a - (3, 0, 2), b- (0, 6, 0) Illustrate geometrically.

A: Given, Two vectors  a = ⟨3, 0, 2⟩   b = ⟨0, 6, 0⟩  We have to find the sum of vectors and illustrate…

Q: Do the vectors (1, 0, 0), (0, 1, 0), and (2, 3, 0) lie on the same plane? Briefly explain how you…

A:

Q: Let a = (10,-1,1) and b = (5,-3,-9) be vectors. How do I find what the image is asking for?

A: (A) ⇒Projb→a→=a→·b→a→⇒Projb→a→=(10, -1, 1)·(5, -3,…

Q: If the vectors ü =[-9, a, 15] and V= [b, 2, - 5] are collinear, then: a = 6 and b = -3 Oa = -6 and…

A: by using collinear concept

Q: Find the length of the vectors. (i) 5i - 5j - 3k (ii) 1.4i + 0.6j + 2.8k

A:

Q: How do you add two vectors algebraically? Geometrically?

A: Solution: Consider the two vectors: u→ = u1, u2 and v→ = v1, v2 Then the sum of u→ and v→is called…

Q: A company manufactures two products. For $1.00 worth of product B, the company spends $.45 on…

A: We want to find cost per dollar of income.

Q: Several vectors in the x-y plane are shown in the figure with their tails at the origin of the…

A: NOTE: Refresh your page if you can't see any equations. . the given vectors are

Q: What is the component form of the vector represented by 8a when a = (-5, 3)? Enter the answer in the…

A: Scale product of the vector

Q: -7 -3 Find out the area of the triangle whose two sides are given by the vectors: V1 and v2 = -5 8 1…

A:

Q: 6. We have two vectors: a =) and b= 8 What is the resultant of -a plus b? (

A: Given:     To find: -a + b

Q: Find the magnitude of the vector AB with initial point A(1, 5) and terminal point B(-3, -3). Give…

A:

Q: Find a method that uses the Dot-Product to decide for three randomly chosen points P, Q, and R in…

A: Let us sketch a figure relating to the problem

Q: 2) Subtract the (2) vectors; (4, 6) & (-8, -10)

A: The given vectors are 4, 6 and -8, -10 We need to subtract the given vectors.

Q: Do the vectors ū = i+j-4k, V= -5i +3j-7k and w'= -i +4j+2k plane? 1ie in the Same

A: We have to check whether the vectors u→=i+2j-4k, v→=-5i+3j-7k, and w→=-i+4j+2k are in the same…

Q: of each pair of the given vectors -2 -4 6 -6 V2 -2 -1 2 8 7

A:

Q: The surface of a hill is modeled by z = 100 –- 4x² – 2y². When a group of hikers reach the point (-…

A: key ponts ;  let  z=f(x,y)   be a function then  maximum rate of incrasing is along the vector  ∆f…

Q: ppose u = (-2, –1) and v = (-3,–9) are two vectors that form the sides of a parallelogram. Then the…

A:

Q: Determine if the vector is a linear combination of the remaining vectors. Explain the steps.

A: We will check whether the vector v is linear combination of others or not.

Q: How can you tell when vectors span a certain R^? Please explain in the most simplistic detail>

A: Let S=v1,v2,v3 And v1=1-12;v2=213;v3=-102 Does SpanS=ℝ3? if any vector in ℝ3 can be expressed or…

Q: Determine the dot product of the two vectors shown in the diagram. (3.5) 1. -5 4 -2 -11 23 4 5 -2+…

A: Dot product of the given vectors

Q: Are the vectors 3 - 37 + 127?, 9 – 15x + 3x² and -6 – 18æ + 15x² linearly independent? choose If the…

A:

Q: 3.10 Rotate the vectors 2 x1 := 3 [4] x2 := by 30°.

A: As we know that, the rotation matrix when the vector rotates about the z-axis in the…

Q: Express the vector v =-1 as a linear combination of the vectors -3 0,v2 4 and v3 -4 , if possible.…

A:

Q: Consider two vectors ~a and ~b such that ~a x^b = ~0. What can be said about vectors ~a and b?…

A: We have to give the reasons

Q: The vectors 2 and are given by 1= 21+4j-k m and --3i+5k m. Detemine the scalar and vector product à…

A: on solving this we get

Q: 1. a. If 37-2ỷ = ở and 5x - 33 = b, express the vectors and y in terms of a and b. %3D %3D

A:

Q: What is the component form of the vector represented by 2a when = (-2, 3)? Enter the answer in the…

A: If we multiply by a constant to any vector then  magnitude of that vector will be changed.

Q: Q2:a\ Let A = 3i - 2j+ k, B = i-3j+5k, C = 2i+j-4k vectors: vectors A, B and C form a right triangle…

A:

Q: when we decompose the vector , what would the vertical component be?

A: Use the decomposing concept of a vector.

Q: Let the vectors (2,3) and (-6,4) be    Your point product is: ? The angle between the vectors is:…

A:

Q: ū = (-2, -12, 4), ₺ = (3, -2, 1).

A: Here we use the vector addition formula.

Q: 4. Find a vector that points in the opposite direction as ā = (-3,–14,2) with a magnitude of 32. 5.…

A:

Q: ent vectors are wA (5, 10) and wB = (10, 5). Solve for the market %3D

A: Sol

Q: Suppose A(7, 7) was translated along the vector then rotated 90 degrees counterclockwise about the…

A:

Q: Let a = 1 and b = 1 be two vectors. What is JaIbl? - |a · b? ? [Please enter your answer…

A:

Q: If ö1 = - 9i- 2j and v2 = - 4i +93, then find - 971 + 302. %3D Type your answer as a linear…

A:

Q: Explain how two vectors are summed (added). How must the vectors be physically arranged? Draw a…

A: