an example of a (nonzero) vector perpendicular to ?⃗ = ⟨−17, 3, −6⟩. Please give full explanation to the

Q: Write the vector a=i−4j as the sum of a vector parallel to b=j+k, and a vector perpendicular to b.

A: Express vector a as sum of two vectors one is parallel to vector b and one is perpendicular to b.…

Q: State whether the vectors are parallel, orthogonal, or neither. 5) v = 2i + j, w=i- 2j

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: photo attached

A: Given informationU=(4, 1),  V = (-7, 3)That is U= 4i+1j      V = -7i+3j

Q: Write the given vector in terms of i and j. ? =  (0, −10)

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Q: For the vector a,b,c ∈ IR3 a+b+c=0 and ===1 then ?

A: We will first assume a=(a_1,a_2,a_3),b=(b_1,b_2,b_3) and c=(c_1,c_2,c_3).Now will will use…

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: - - 1. If à = 2ảx + 6ảy – 3ả₂ and ☎ = −3ảx – 4ảy – 5ả₂, find a. a unit vector in the direction of A…

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Q: For the pair of vectors, find U+V, U-V, and 3U-4V. U = , V = U+V = ? U-V = ? 3U-4V = ?

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Q: If A = 4a, - 6a, + a, and B = 2a, + 5a,, find: (a) A B +2|B (b) a unit vector perpendicular to both…

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Q: find the component form of the vector. The sum of AB and CD, where A = (1, -1), B = (2, 0), C = (-1,…

A: Given that A = (1, -1), B = (2, 0), C = (-1, 3), and D = (-2, 2)We have to find AB + CD.

Q: For what value of t , if any, is the vector (8t, 2) parallel to the vector (4, -1) ? 1 O A. t=- 4 В.…

A: Now we will find the value of t .

Q: 3 (-4V3,-2V3) :44. V=

A: Vector

Q: Two non zero vectors a and b have respective magnitudes a and b , respectively. Given that c = a×b…

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Q: Which of the following equations correctly expresses the relation between vectors A, B, and C shown…

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Q: a) Find a vector that is perpendicular to both w = ỉ – 3+ 3k and i =7+23.

A: As per our guidelines, we can answer only one question. So, here I am answering for a) please repost…

Q: write the given vector in terms of i and j. u= (-8,5).

A: It is given that, the vector u is, (–8, 5).Assume that, the symbol i represents the horizontal…

Q: Which of the following expresses the fact that the vectors u and v have the same length? (a) u u (b)…

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Q: Write the given vector in terms of i and j. u- (0, -9)

A: given vectoru=(0,-9)

Q: For what value of t, if any, is the vector ( 2t, -1) parallel to the vector (4, -1) ? 1 t = 4 OA. t=…

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Q: Suppose a • b = -12 and b is a unit vector. a Explain why a and b are not perpendicular. b Given…

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Q: Perform the following operations on the vectors i = (-5, 3, –2), i = (4, 5, 0), and w = (-1, –5,…

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Q: W = < -2/2,-2/2

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Q: For a given 3d vector, solve for 0, if 0x = 60°and 0, = 45 120° 45° None of these 75° 150°

A: Consider the provided question,

Q: Find & l or In the direction of the given vector. 19) 14 B) 2/3 2/3113 2/3 2/3113 2/92/9 119

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Q: 3. Use the given rectangular prism to state a single vector that is equivalent to a) BC + GH A B D E…

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Q: What is the component form for a vector with a magnitude of 21 and a direction of 321°? A (14.18,…

A: We have to solve given Questions.

Q: Find the direction of the resultant vector. (8, 10) V (7,-1) W [?]° 1>13

A: The given data is: v→=8i+10jw→=7i-j  To find the direction of the resultant vector.

Q: If you three vectors a = i + j + k, b = 2i – j + 3k and c = i – 2j + k , find a unit vector parallel…

A: Given,          The three vectors are a→=i+j+k , b→=2i-j+3k and c→=i-2j+k.

Q: photo attached

A: Given,

Q: Which of the following vectors represents - 2u + v?

A: Given,

Q: Show that each pair of vectors is perpendicular.    i + j and i - j

A: Given: u=i+j ,v=i-j

Q: Determine the unit vector of r. B. 30 40

A: Explained below

Q: If å = -î +ĵ b = 2î – 3j č = î - î And d = å – 3B + ¢ Determine the unit vector of d

A:

Q: 10 Select the correct answer. If vector a = and vector b = , what is the resulting vector for 2b -…

A:

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 the pair of vectors, find U + V, U – V, and 3U – 4V. U = (3, 1), V = (-6, 2) U + V = U - v = 3U…

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Q: Write the given vector in terms of i and j. ? = (1, 3)

A: (a,b) is written as : ai+bj

Q: Two non zero vectors a and b have respective magnitudes a and b , respectively. Given that c = a × b…

A: To show that,

Q: For the pair of vectors, find U+V, U-V, and 4U-2V. U = -9i+4j, V = 9i+4j U+V = ? U-V = ? 4U+2V =…

A:

Q: Given vector A = 2а, + ба, За, and vector - B = – 3a, – 4a, – 5a,. Simplify the given mathematical…

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Q: For the vector, find 1/2(V),−V, and 4V V= (-5,9)

A:

Q: Find a unit vector ū that has the same direction as the vector i = (-3, 3, - 3 -3 2 А. 22 22 22 3 B.…

A: find the magnitude for finding the unit vector.

Q: 2. Given the figure below, find a single vector that is equivalent to C B tw b) 10 14 וד --(A-F+C) G…

A:

Q: Find the vector that has the same direction as 2i + 3j – 6k but has length 5. -(i +j– k) а. b. 5(2i…

A: Given: A→=2i+3j-6k

Q: b Write the vector b in terms of the other vectors. C.

A:

Q: (d) Explain why each vector VER can be expressed in precisely one way as v u+w, where u ES and w ES.

A:

Q: photo attached

A: Given:U = &lt;3, 3&gt;V = &lt;3, –3&gt;

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→.

Q: Given the points A: (2,3,6) and B: (-3,-4,1), find the vector u = AB ū = < U

A: NOTE: Refresh your page if you can't see any equations. . here we have

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.