Find a value of b so that 15i - 3j and -4i + bj are orthogonal.

Q: If w = -2i + 6j, find the following vector: 2(-2) + 4(-6) W.

A: Given: The vector w=-2i^+6j^. w2 can be calculated as, w2=-22+622        =402       =2102…

Q: Show that each pair of vectors is perpendicular.     -4i -3j and 6 i - 8j

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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: Determine whether v and w are orthogonal given v=-5i+2j and w=2i-4j

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Q: Find each scalar multiple. aа. 2(3, 1) b. 3(-5, 1) c. -(-6. 0)

A: Given: a)  23,1b)  3-5,1c) -12-6,0 To determine: Scalar multiple in each case.

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: 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: Find the value of k for which the vectors 4 and 4 k are orthogonal. k =

A:

Q: find all the scalars k such that || kv || = 3, Where v = (-1, 2, 0, 3)

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Q: Write the projection of 2î +3j-k along the vector î+j.

A: Given that: 2i+3j-k along the vector i+j.

Q: Find the value of k for which the vectors -4] -5 and -5 k are orthogonal. k =

A: Let the two vectors be- a →=-20-51        and  b→= -4-50k It is given that both the vectors are…

Q: Given that A=2i+j-k, B=4i+2j+ck, find the scalar c such that: 1- A & B are orthogonal 2- A & B are…

A: As per our company guidelines we are supposed to answer ?️only first 3️⃣ sub-parts. Kindly repost…

Q: The vectors A = 2i + 5k and B = 4i + 3j + k has: a) Ā || B b) A1 B c) 0 = 61.743°

A:

Q: Use the dot product to determine whether v = 5i and w = -6i are orthogonal.

A: The given vector is v=5i  and  w=6i known fact: Two vectors a and b are orthogonal (perpendicular)…

Q: express each vector as a product of its length anddirection. 3/5i + 4/5k

A: Here,Given Vector,v=35i+45kWe have to find Product of its length and direction.length of…

Q: |A student writes the statement ā.b = b.č and then concludes that a = č. Construct a simple…

A: The given problem is related to vectors. Given: a student writes the statement a→ . b→ = b→ . c→ and…

Q: Determine m such that the two vectors are orthogonal.

A: The vectors 5mi^+3j^ & 2i^+7j^

Q: Show that the pair of vectors is perpendicular. -2i - 5j and 10i – 4j To show that -2i – 5j and 10i…

A: Given,            To show that -2i -5j and 10i - 4j are perpendicular.

Q: If Lo and Li are parallel, then vo = is a scalar multiple of vi = . اختر احدى الدجابات

A: If two lines  L0: (x,yz)=(x0+a0t, y0+b0t, z0+c0t)And,L1:(x,y,z)=(x1+ sa1, y1+sb1, z1+sc1) Are are…

Q: Use the dot product to determine whether v= 12i - 8j, and w= 2i + 3j are orthogonal.

A: It is given that, v=12i-8j and  w=2i+3j

Q: Determine whether v = 3i - 5j and w = 6i - 10j are parallel,orthogonal, or neither.

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Q: If w = -2i + 6j, find the vector: [2(-2) + 4(-6)]w/lwl2.

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Q: Determine whether v and w are parallel, orthogonal, or neither. v=-2i+3j, w=-4i+6j

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Q: Find the value of k for which the vectors and 4 -4 are orthogonal. k =

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Q: What is the dot product of the vectors a = 4i + 3j and b = -3i + 4j?

A: Solution is given below:

Q: Given that A=2i+j-k, B-4i+2j+ck, find the scalar e such that: 1- A & B are orthogonal 2- A & B are…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: = 2i-3j +3 and -3i +x +2î are orthogonal, then

A: If u and v are Orthogonal then determine x value

Q: Use the vectors v=3i+j-2k and w=-3i+2j-k to find each expression. 4v - 3w

A: To Use the vectors v=3i+j-2k and w=-3i+2j-k to find each expression. 4v - 3w

Q: B. Determine orthogonal $2435 if A=9i-6j-24k and B=(-15, 10,40) are parallel, or neither using dot…

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Q: Suppose A = 4i-6j, B = i + 7j, and C = 9i - 5j. Then the scalars h and k such that A = hB+ kC are…

A: Topic = Vector

Q: Determine whether v = -2i + 3j, w = -6i - 9j are parallel, orthogonal, or neither.

A: Determine whether v=-2i+3j,  w=-6i-9j are parallel, orthogonal, or neither. Solution:- if two…

Q: Consider the vectors a= 2i +4j-6k, b*=-31 +k and c = 3j¯- 2k. Find a un vector parallel to - 2a…

A: Given query is to find the indicated unit vector.

Q: Use the dot product to determine whether v = 8i - 4j and w = -6i - 12j are orthogonal.

A: Two vectors are orthogonal when its dot product is zero.

Q: 2: Find the component of u = 2i+j - 3k that orthogonal to v = 3i – j, then verify your result.

A: Solution:

Q: Determine the real number a such that u x v and i are orthogonal, where u = 5i + j - 9k and v = 6i -…

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Q: (B): Find the unit vector 3i - 4j + 5k perpendicular to the vectors: 4i + 5j-6k

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Q: Determine the vector 8a – 7b if a = -3i + 2j – 4k and b = 5i + 6j + 2k. 8a – 7b help (vectors)

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Q: Determine the vector 2a – b if a = -4i + 5j and b = 7i + 2j. %3D

A:

Q: If possible, find scalars c1, c2, and c3, not all zero, so that

A: c112-1+c213-2+c337-4=000c12c1-c1+c23c2-2c2+3c37c3-4c3…

Q: If A =i-j+3k and B = 2i +6j +3k , Find the vector proj4 and projB

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Q: Determine "k" so that the vectors 3a- 4b and 5a+ 2k b are collinear. Justify your response.

A: Topic = Vector

Q: Given the vectors =(-3, 1) and n=(-2, 0), find 7m and m-n. Write your answers in component form. 7m…

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Q: Express the resultant vector as a linear combination. f=-3i - 10j %3D g = 11i + 5j Find:-6f +2g

A: To find -6f+2g.

Q: Determine m such that the two vectors are orthogonal.

A: Given : 3i-2j and 4i+5mj

Q: Determine whether v = -2i + 3j, w = -6i - 4j are parallel, orthogonal, or neither.

A: Given;                 v=-2i+3j,  w=-6i-4j We say that 2 vectors are orthogonal if they are…

Q: Determine m such that the two vectors are orthogonal.

A: Given vectors are 9i-16mj and i+4mj. To find m such that given two vectors are orthogonal. Solution:…

Q: express each vector as a product of its length anddirection. 9i - 2j + 6k

A: The given vector is u=9i-2j+6k. Compute the length as follows. u=92+-22+62=81+4+36=81+40=121=11

Q: Which of the vectors in the image below represents 3 C when c = ?

A: Given query is to find the option which gives vector 3c.

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.…