Given v 9i-7j and w a. Find projwv. i-j, b. Decompose v into two vectors v, and v2, where v, is parallel to w and v2 is orthogonal to w. a. projwv (Type your answer in terms of i and j.) b. v,=(Type your answer in terms of i and j.) (Type your answer in terms of i and j.) V2 = Enter your answer in each of the answer boxes.

Q: Let u = a1i + b1 j, v = a2 i + b2 j, w = a3 i + b3 j. Prove the given property by obtaining the…

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Q: Given vectors v=3i-5j, and w=-2i+3j, calculate the following: A) 3v-2w B) ||v-w||

A: The given vectors are

Q: Given v = 31 - 5) and w=i-j, a. Find projw v. b. Decompose v into two vectors v, and v2, where v, is…

A: Given that v=3i-5j, w=i-j, can be solved as shown in step 2.

Q: If A = 6i + 7j – 10k, B = – 4i + 5j + 6k, C = 10, and C is perpendicular to both A and B, write the…

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Q: The points P and Q have position vectors a + b and 3a – 2b respectively relative to the origin O.…

A: vectors

Q: Find projwv. Then decompose v into two vectors, v1 and v2, where v1 is parallel to w and v2 is…

A: v=2i+4j  and  w=-3i+6j. Now, v·w=2i+4j·-3i+6j=2-3+46=-6+24=18 & w=-32+62=45=35 Therefore,…

Q: . Compute the dot product of the given vectors and find the angle between them: a) u = (3,7,-2) and…

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Q: Given vectors u = 2xi + 9j and v = xi - 4j, find x so that u and v are orthogonal.

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Q: Given vector U= ⟨1,-1⟩ and V=⟨1,1⟩, find a linear combination of the vectors u and v of the form aU…

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Q: Given two vectors P=-xi + yj – zk , where x, y, z represent the last three digits of your index…

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Q: Find the following for the vectors u = - 5i + 8j + V5 k and v = 5i – 8j – /5 k. a. v•u, v, and Ju b.…

A: As per Bartleby answering guidelines if a questions has multiple subparts then an expert is expected…

Q: Given the vectors u=-i+3j, v=6i-6j, w=-5i+3j, carry out the designated equation. V*(u+v)

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

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Q: Given v = 2i + 4j, w = -3i + 6j, find projw v. Then decompose v into two vectors, v1 and v2, where…

A: *The given vector v is, v=2i+4j *The vector w is, w=-3i+6j The projection of the vector on the other…

Q: If u.v.w are three vectors such that each is inclined at an angle of " with the other two, and that…

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Q: Given v = 7i+ 9j and w = - i+j, a. Find projwv. b. Decompose v into two vectors v, and v2, where v,…

A: Given that       v = 7i + 9j    and    w = -i + j Here we have to find projwv .

Q: Given the vectors v = 2i − j and w = 3i + 6j. Determine the component form of vector u where u = −2v…

A: we will calculate

Q: Given v = 2i + j, w = 6i + 3j, find projw v. Then decompose v into two vectors, v1 and v2, where v1…

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Q: Given v = - 3i + 5j and w = i+j, a. Find projwv. b. Decompose v into two vectors V1 and V2, where V1…

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Q: Find projwv. Then decompose v into two vectors, v1 and v2, where v1 is parallel to w and v2 is…

A: To Determine: Find projwv. Then decompose v into two vectors, v1 and v2, where v1 is parallel to w…

Q: 4.18. Given vectors u = 3j – - 6k and v = 6i – 4j – 2k, find the dot product of u and v.

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Q: Find projwv. Then decompose v into two vectors, v1 and v2, where v1 is parallel to w and v2 is…

A: we have to find projwv of the given vectors and then we have to decompose v into two vectors, v1 and…

Q: Given v = - 7i + 5j and w= -i+j, a. Find projwv. b. Decompose v into two vectors v, and v2, where v,…

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Q: Given the vectors →u=−6i−3j and v→= 10i+5j perform the operations below. →u+→v=____________ →u−→v=…

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Q: For the vectors u=i+6j+ 8k and v = 10i – 3j + k, calculate projyu and scal,u.

A: For the solution follow the next step.

Q: Given the vectors v = 4i + 2j + k and w= 2i + 3j - 4k. Find | 2v – w|

A: Given vectors V=4i+2j+K W=2i+3j-4k Now we have to find |2v-w| as shown below

Q: Given the vectors P=3i - j +k, Q =4i +Qy j-2k, and S=2i -2j +2k,determine the value of Qy for which…

A: given the three vectors P=3i-+j+k , Q=4i+Qyj-2k  and S=2i-2j+2k are coplanar vectors. we need to…

Q: Given the vectors u = -i-5j and v =-3i+2j, find u v

A: Given vectors are  u=-i-5j     and   v=-3i+2j

Q: Given the vectors v = 4i + 2j +k and w = 3i – 4j + k. Find | 2v – w |

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Q: If u, and uz are orthogonal unit vectors, and v = au, + bu2, find v•u . v•u1 II

A: topic - vectors

Q: Let u = a1i + b1 j, v = a2 i + b2 j, w = a3 i + b3 j. Prove the given property by obtaining the…

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Q: Given the vectors A = 3i – 5j + 2k and B = 7i + j – 2k. Find the vector projection of A onto B.

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Q: Given v = i + 2j, w = 3i + 6j, find projw v. Then decompose v into two vectors, v1 and v2, where v1…

A: v=i+2j, w=3i+6j Now, v·w=i+2j·3i+6j=13+26=15 & w=32+62=45 Therefore,…

Q: For the vectors u =i+5j+5k and v = 5i - 5j + 4k, calculate proj,u and scal, u. proj, u = (Di+ Di+ Ok…

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Q: The points P and Q have position vectors a + b and 3a – 2b respectively relative to the origin O.…

A: Given OP→=a+b, OQ→=3a-2b

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: A = x6- y9+z3 B = x6- y3+z9 C = x 2- yl-zl For the given vectors A,B, and C show that whether C is…

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Q: Given v = −8i − 4j and w = −6i + 4j, Find projwv. Find vectors v1 and v2 such that v1 is parallel…

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Q: Given v = 3i - 2j, w = 2i + j, find projw v. Then decompose v into two vectors, v1 and v2, where v1…

A: Given that, The vectors  v = 3i - 2j, w = 2i + j. We have to find projw v By using a formula, projw…

Q: 5. Let A =-ai+3j–2k and B = 4i + ßj+8k (a) Find a and ß if A and B are parallel. (b) Determine the…

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

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Q: Let u = a1i + b1 j, v = a2 i + b2 j, w = a3 i + b3 j. Prove the given property by obtaining the…

A: Given that, u=a1i+b1jv=a2i+b2jw=a3i+b3j

Q: Consider the vectors a = 6i + 7j + 6k and b = 4i − j + 8k, where i, j, and k are…

A: Let a and b are two vectors then two vectors are said to be parallel to each other if there is…

Q: If a = 2i – j+k and b = 2j – k, for which value of t are the vectors a + tb and a orthogonal? 6 2 -3

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Q: Given v = 6i + 2j and w =i-j, a. Find projwv. b. Decompose v into two vectors v, and V2, where v, is…

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Q: Given v = 7i+9j and w = -i+j, a. Find projwv. b. Decompose v into two vectors v, and v2, where v, is…

A: Here we have to find projection  And decompose v in two vectors

Q: If v = 5i + 6j and w = 10i + 12j, find proj,v. Then decompose v into two vectors v, and v2, where v,…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.