For AABC, let b and c denote the vector AB and AC , respectively. The vector BH is orthogonal to AC. Try to use b and c to express BH B Н С A

Q: If a = i+ 3j +k and b = i+ 9j +k, find a unit vector with positive first coordinate orthogonal to…

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Q: find the given vector  Unit vector ew where w = (24, 7)

A: Given: w=24,7

Q: 27. Find a unit vector that is orthogonal to both i +j and i+ k.

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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: Given the vectors A=4 at 300, B= 6 at 1200, and C=7 at 1800. a) Find the new vector D=A+B+C b)…

A: (a) First plot the three vectors.

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: If a = i+ 2j +k and b = i+10j + k, find a unit vector with positive first coordinate orthogonal to…

A: The vectors are given as , a→=i^+2j^+k^ and b→=i^+10j^+k^ find a unit vector with positive first…

Q: Find the vector v with length 2 and the same direction asthe vector u =(=6,5,3). a) 12 10 b) 12 10…

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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 what value of t, if any, is the vector (1, 4t) parallel to the vector (4, - 1) ? Not O A. 1 O B.…

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Q: Given that (A x B) x (C x D) = [A,C,D]B - [B,C,D]A, derive (A x B) x (C x D) = [A,B,D]C - [A,B,C]D…

A: To derive the second identity , assuming the truth of the first

Q: If a = i+ 4j + k and b =i+ 8j +k, find a unit vector with positive first coordinate orthogonal to…

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Q: Prove with a diagram the following: If e is a unit vector orthogonalto v, then e × (v × e) = (e × v)…

A: Cross product of 2 vectors A→ and B→ at angle θ is given by the expression A→×B→=|A→||B→|sinθ n^.…

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: a. Find a vector and unit vector perpendicular to each of the vector à + B and à – Ē , where à = ai…

A: Given: Vectors are A→=ai+4j+bk and B→=6k+i+2j To find: A vector and unit vector perpendicular to…

Q: For what value of t, if any, is the vector (2, -4t) paralel to the vector (4, -1) ? t O A -2 %3D 1…

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Q: For the vectors A=x + 2ŷ – î = (1, 2, – 1), B=ŷ + î = (0, 1, 1), C=î-ŷ = (0, 1, 1), a) Prove that Ax…

A: Correct last vector coordinates representation

Q: Let b be a vector in R" satisfying the following equation. 4 3 =Db 7. Then m- and b

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Q: The length of the vector u = (0, 1, 1) is:   a)  1 b)  2 c)  √2 d)  3 e)  √3

A: We have to find

Q: a. Find a vector and unit vector perpendicular to each of the vector à + B and Ả – B , where A = ai…

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Q: Express the following vector as the product of its magnitude and a unit vector: v=(3/5)i^ + (4/5)k^

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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: Consider the bases B- (u, u,) and B' = (u', u'2) for R?, where 8. !3! 8 Compute the coordinate…

A: Given: Bases for ℝ2 : B = <u1, u2> & B' = <u1', u2'> where, u1 = 88, u2 = 6-1, u'1 =…

Q: If a = i+ 2j + k and b = i+ 5j +k, find a unit vector with positive first coordinate orthogonal to…

A: Given that     a = i+2j+k and b = i+5j+k We have to find a unit vector with positive first…

Q: For what value of t , if any, is the vector ( 2t, -1) parallel to the vector (4, -1) t= 2 OA. No t…

A: Solution: The objective is to find the value of t

Q: If a = i+5j + k and b = i+ 9j +k, find a unit vector with positive first coordinate orthogonal to…

A: We have to find

Q: Given the following vector quantities: A = (50, 30, 20) N and B = (30, 20, 30) N, determine;   The…

A: To find the magnitude and direction with respect to each axis of the vector product

Q: Consider the vectors y= 3i + 4j + 5k and w= i + j + k. Express the given vector in terms of i, j and…

A: The given vectors v=3i+4j+5k and w=i+j+k

Q: If a = i+ 10j + k and b = i+ 11j+ k, find a unit vector with positive first coordinate orthogonal to…

A: Vector cross product of given two vector  is orthogonal to two given vector

Q: For what value of t, if any, is the vector parallel to the vector (4, -1) Not t = -8 B -2 Oc. t = OD…

A: If any two vectors u and v are parallel then u=s·v where s is any scalar. The vectors 12t, 1 and 4,…

Q: If a = i+ 8j + k and b = i+ 13j + k, find a unit vector with positive first coordinate orthogonal to…

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Q: Find a unit vector in the plane of the vectors A = i + 2j and B = j + 2k, perpendicular to the…

A: Consider the given question,

Q: Let v be the vector . The vector of length 5 in the opposite direction as v is Select one: a. 5 -5…

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Q: Suppose that A= 2i + j, B= i – 4j + k, and Ĉ =j+k. What is the direction of vector A? A A. 26.6 E of…

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Q: Let a = 2i + j - 2k and b = i+j. If c is a vector such that a.c = |cl, |c – al = 2v2 and the angle…

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Q: Find a vector and unit vector perpendicular to each of the vector à + B and à – B , where à = ai +…

A: We have A→=ai+4j+bk  and B→=6k+i+2j Here a=0 and b=5 So, we have  A→=0i+4j+5k  and B→=i+2j+6k Now,…

Q: For any nonzero vector v, the unit vector that has the same direction as v is________ . To find this…

A: For any nonzero vector v, the unit vector that has the same direction as v: To find this vector,…

Q: For what value of t, if any, is the vector t, -1 parallel to the vector (4, - 1) ? OAt=- 16 OB. t =…

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Q: . Prove: If a and b are both unit vectors, then axb is a unit vector only when a and b are…

A: since you have asked multiple questions in a single request, we would be answering only the first…

Q: Which vector is not orthogonal to ū=? a. C. b. d.

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Q: Given that P1 is the initial point and P2 is the terminal point of the vector, represent the vector…

A: Use vector concept

Q: Express the following vectors in terms of p, q and r. GF (a) (b) CF (c) OB (d) OD le) OC

A: There are two major laws used to perform vector addition. These are Triangle law of vector addition…

Q: Find a unit vector that is orthogonal to both i +j and i + k.

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Q: For what value of t , if any, is the vector (2, -4t) parallel to the vector (4, -1) No t O A. 1 %3D…

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Q: Consider the vectors a = 4 i+ 8 j-8k, b = 2 i +k and c = 4 j-5k. Are the vectors a and b+c…

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Q: If a = i+ 3j + k and b = i+9j + k, find a unit vector with positive first coordinate orthogonal to…

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

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Q: If a = i+ 4j + k and b = i + 8j + k, find a unit vector with positive first coordinate orthogonal to…

A: Given : a=i+4j+k and b=i+8j+k.