Find the value of a so that vectors U = ai + 12j and V = 31 + 9j are perpendicular. a =

Q: Find the angle, to the nearest degree, between the vectors U and V U=4i+5j, V=7i−4j

A: Consider the given vectors U=4i+5j , V=7i-4j First, find the dot product of vectors of U and  V…

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 14j as…

A: ANSWER IS GIVEN BELOW.

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: For the pair of vectors, find U + V, U-V, and 3U - 4V U = (4,1) V =(-6,3

A: Given that  U = (4,1) V =(-6,3) To find U + V, U-V, and 3U - 4V

Q: Find the value of a so that vectors U = ai + 3j and V = 9i + 9j are perpendicular. a =

A: Given: U=ai+3jV=9i+9jθ=90ο

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 two vectors v m which are perpendicular. under which condition is V+W perpendicular to V-W?

A: Since vectors v and w are perpendicular so, their dot product is 0

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: Let 0 be the angle between vectors A and B, find the value of the angle 0 when -6V3A × B = 18Ã. Ē

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Q: H For the pair of vectors u = and v = in R*, find the size of the angle 0 between u and v. Hence,…

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Q: Let u =j- 3k, v = - 9i + 3j – 3k, w = 3i -j+ k. Which vectors, if any are (a) perpendicular? (b)…

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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 the vectors v=i+3j w = 4i – j

A: Given : v = i + 3j w = 4i - j

Q: Use the cross product u ✕ v to find the obtuse angle between vectors u and v, where u = −i + 6j +…

A: The answer is in step 2.

Q: Rewrite the following vectors in term of unit vectors а. ОP %3D (9, -2) b. 0Q = (7,0,8)

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Q: Find the positive value of m that makes the angle between the vectors equal to 5 a = i +j+k b = mi –…

A: Given that, a⇀=i^+j^+k^ b⇀=mi^-k^ Then we get, a⇀·b⇀=i^+j^+k^·mi^-k^a⇀·b⇀=m+0-1=m-1 Moreover we get,…

Q: If a = 2i -j+2k and b =i+2j-2k, find two vectors c and d satisfying all the following conditions:…

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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: photo attached

A: Given vectors are

Q: Find the value of a so that vectors U = ai + 9j and V 3i + 12j are perpendicular. %D a =

A: Since, We know that Two Vectors are perpendicular to each other if and only if their dot product is…

Q: a/The angle between the two vectors A2 Bz 3 TT 2

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Q: Let the cosine of the angle between the vectors p and q be à such that 2p + q = i + j and p + 2q =…

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Q: For the pair of vectors, find U + V, U – V, and 4U + 3V. U = 2i + 7j, V = 7i + 2j U + V = U - V = 4U…

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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: photo attached

A: Given,

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

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Q: In parallelogram ABCD, E is the midpoint of the diagonals. Тext Let AD = ū and AB = v. A D Express…

A: AD⇀=BC⇀=u⇀ AB⇀=DC⇀=v⇀

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

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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 = 2i+j and v = 4i-6j, find 4u and u-v. Write your answers in the form a i+bj. 4u…

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Q: Find a set of vectors {u, v} in Rª that spans the solution set of the equations { y + 4z 0, - 5w +…

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Q: 3. Calculate the angle (degrees), between vectors p = 2i +9j – 4k and q = -3i + 5j + 6k correct to…

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Q: The area of the parallelogram whose adjacent sides are the vectors u and v is a) Ju · v| c) Ju x v|…

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Q: ind the value of a so that vectors U = ai + 9j and V = 3i + 3j are

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Q: Find the area of the triangle with two sides given by the vectors a = i – j+ 4k, and b = 2i – 4j+1k

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Q: Find the value of a so that vectors U = ai + 6j and V 5= 9i + 12j are perpen dicular.

A: Our Aim is to find the value of a so that the vectors U=ai^+6j^ and V=9i^+12j^ are perpendicular.

Q: If u, and u2 are orthogonal unit vectors, and v = au, + bu2, find v•uq. = 'n.a v•u,

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Q: Compute the dot product of the vectors v and w, and find the angle between the vectors. v=−10i+j and…

A: Compute the dot product of the vectors v and w, and find the angle between the vectors. v=−10i+j and…

Q: Determine the value of the parameter k so that the vectors ū= ki− 2j + 3w, v̄= −i + kj +w are…

A: The given vector are ū= ki− 2j + 3w, v̄= −i + kj +w .

Q: Given the vectors v = 3i-8j and w = 6i-j, find 5v and v+w.

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Q: Given the vectors v = 3i-8j and w =6i-j, find v W.

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Q: Given the two vectors u = & v =, find the following cross products: u x v and v x u

A: Given,          The two vectors are           u→=<0,2,1> and v→=<1,-3,4> .

Q: (b) Check whether u = 6i – 2j+k and v = = -4i – 3j+9k are parallel or not. Then, find the area of…

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Q: For the pair of vectors U = 9i + 4j, V = 5i + 5j, find U + V, U - V, and 4U + 5V. U + V = ( )i + (…

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Q: For the pair of vectors U = -2i + 8j, V = 2i + 8j, findU + V, U - V, and 4U + 5V. U + V = ( |)i+(…

A: We use the following formula to find the u+v: (ai+bj)+(ci+dj)=(a+c)i+(b+d)j

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

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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: Given the vectors v=i+3j w = 4i - j

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