Ql: Determine whether the following vectors are parallel, orthogonal or neither. vi = i+ 6j – 4k, V2 = -3i – 3j + 6k

Q: B) Determine if the two vectors are orthogonal or parallel or not? A=6i + 6k and B--2i +2j+2k

A: We have to check that the two vectors A→ and B→ are orthogonal or parallel. So, we find the angle…

Q: The following diagram shows the parallelogram ABCD. B A D Let AB =p and AC=q. Find each of the…

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Q: Q3/B/ For what value of 2, the vectors 2i – j+ 2k and 3i + 21j are perpendicular?

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Q: Find the component form of the given vector V. belaw Dont forget round off to two decimal piacees.…

A: a) given that : r=14 & θ=55°  then components of the vectors are x=rcosθ , y=rsinθ   therefore…

Q: For the pair of vectors, find 4U+3V. U= - 4i+4j, V = 4i+4j 40j O -4i+28j O 4i+28j O - 28i+4j -…

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Q: Given the vectors v=3i - 2j+5k and w=-i +4j+2k, find the following: a) 2v-w= b) V•W= ||w|| = c) 12 =…

A: v→=3i-2j+5k and w→=-i+4j+2k

Q: for what value of Ca) will the Vector ū = -41-8)4ak,ū =ei+4j-5k are parallel

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Q: Q8. Find å – b, given that d = 4i – 3j + 2k, b = 2i – 4k %3D Find the angle between the two vectors.

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Q: For the two vectors a = 7i-4j+2k and b = –6i+3j-5k find the scalar component, comp,b

A: a=7i-4j+2k & b=-6i+3j-5k Now, a·b=7-6+-43+2-5=-42-12-10=-64 & a=72+-42+22=49+16+4=69

Q: given u=5i+j+(a+2)k  and v= (3b-1)j +4j+ 6k  determine a,b so that v are parallel vectors

A: Given that, u=5i+j+(a+2)k  and v= (3b-1)j +4j+ 6k  We have to determine a,b so that u and v are…

Q: Q2: Find the angle between the vectors à and b where a = i+ 2j – k and b = -i+j-2k.

A: The angle between two vectors A→ and B→ is calculated as, cosθ=A→.B→AB The given vectors are,…

Q: Find the value of z of vector A= 3i +3j+ zk if ß = 59.04° and y = 46.686° %3D

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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: Compute the dot product of the two given vectors: 27 1 3. Answer:

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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: For the pair of vectors, find U + V, U – V, and 4U + 2V. U = -5i + 6j, V = 5i + 6j

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Q: 3 Consider the vectors a= =(2³₁) and b =(p+¹). 2p 8 Find the possible values of p for which a and b…

A: we have to find p.

Q: Find the dot product of the given vectors. ü =-i +5j v=-6i-2j u. v =

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Q: Find the x-component of this vector: 47.3 m 39.4° Remember, angles are measured from the +x axis.…

A: To find:- x and y components of given vector in figure

Q: Use the vectors u = i + 4j and v = −6i − 9j. Find 3v + 4u.

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Q: Q1.If à = 2a, + 2a, – a, and B = 3ax + 2a, – 6a, are vectors, find (a) Ả · B (b) Ả× B (c) Angle…

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Q: A ABCD is the parallelogram shown above. a) AC = BC + CD C Express AC in terms of any other vectors.…

A: We have to find out the diagonal

Q: Q2: If it wasA = 3i -j+2k , B = 2i + 3j -k find 1. 4Ã + 2B 2. ÀxB 3. The angle between the two…

A: we know thatA→=ai+bj+ck=a2+b2+c2sinθ=A→×B→A→B→A→×B→=ijkabcnlmwhere…

Q: (a) For the vectors d = (2, p, 8) and b = (q, 4, 12), determine values of p and q so that the…

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Q: Find (a) the dot product of the two vectors and (b) the angle between the two vectors.

A: Given: 6j, -4i

Q: Consider vectors A= -51 + 2j and B = 6î – 5j. Now answer the following questions %3D

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Q: Use the given pair of vectors, v= -6i+7j , w= -8j , to find the following quantities. State whether…

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Q: For the given vectors a and b, find the cross product a x b. = (4, 0, –3), b = (2, 3, 0) a x b =

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Q: Q2/ A) Knowing that A 2i+mj+k & B-5i+j+ 4k are perpendicular vectors. Find the value of m then find…

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Q: Q3 - A//Find the value of M such that the vectors A 2i+ Mj+k and B = 4i-2j-2k %3D are perpendicular…

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

A: we have been given the vectors  v = i, w = -5j  and we have to find  v.w and v.v

Q: Let Ā = -(1+ m)î + 7j – 5k , B = xî + (6 + n)j – 2k and Ĉ = (8+ m)î – 2k , find the following: If…

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

Q: For what values of b are the vectors (–88, 6, 7) and (b, b², b) orthogonal? Answer (separate with…

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Q: Q2. Find the angle between the vectors and .

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Q: Which of the following pairs of vectors are perpendicular? 1 -/2 > and OA. V2 > and В. - 2/2 > and…

A: If two vectors are perpendicular then multiplication of their direction ratio is 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 for which the below vectors are orthogonal. −27,b,2, b,b2,b

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: H.W 6- Determine which of the following vectors are parallel to A = 4i +6j 1. -4i -6j

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Q: Q3. Find the cross product of the vectors and .

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Q: Q2 A) Knowing that A = 2i + mj +k & B -5i +j+ 4k are perpendicular vectors. Find the value of m then…

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Q: 2. Square ABCD is drawn as showWn below with the diagonals intersecting at E. a. State four pairs of…

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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 vectors i = - 2i - 6j and v = 8i – 5j, perform the operations below. u + =

A: Vector problem....

Q: For v= 3i+j and w= 8i-6j , find. a) 4v-2w b) the unit vector in the same direction as w

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

A: It is known that any two vectors are orthogonal if their dot product is zero. The given vectors are…

Q: For the given vectors a and b, find the cross product a x b. =(3,0, -1), b = (3, 2, 0) a %3D a x b =

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

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Q: For the given vectors below, Solve for Vector č = (Ã+ B) × (÷ (B × Â)) %3D A = 3i+2j - 6k B = 31 -…

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Q: For the two vectors a = 7i-4j+2k and b = -6i+3j-5k find the scalar component, compąb

A: Consider the formula for the scalar component. Find the dot product for a and b and magnitude of a.…

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.