estion 12 For what value of t , if any, is the vector ( 2t, -1) parallel to the vector (4, -1) ? No t OA t=8 OB oct= - 2 OD. t = 2 OE t= -/4

Q: When the vector b = -2 is projected onto the line spanned by the vector a = 1 what is the error 2…

A: The projection of b onto a line spanned by a vector a is  b.a^=b.a|a| Given:  b=[-2-2-1]…

Q: a= b=

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Q: Find a vector v with initial point vector in the direction of v. Enter your answers in i, j, k…

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Q: Illustrate how you would find the unit vector having the same direction as vector (p.q.r).

A: Given vector is p,q,r. We have to illustrate the method to find the unit vector having same…

Q: Q1 Given A= 3i-7j+5k, B = -i+7j-k, C = 4i-j+k. Find the unit vector of: (а) А-В+С (b) АхСхВ

A: The vector addition can be performed by the addition of the respective elements. The elements with…

Q: 6. An airplane is taking off headed due north with an air speed of 173 miles per hour at an angle of…

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Q: Find u · v. u - (7, 2) - (-6, 3) V u.v -

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: B

A: For two vectors A and B, A-B is nothing but adding Aand -B i.e. C=A-B is the resultant of Aand -B.

Q: Explain why there is no vector v such that × v =.

A: We explain why there is no vector v such that  <1,2,1> × v =<3,1,5>

Q: 3. (Sinx, Sinzx, 4. for the given vectors find the value of normalize W+V π = (1, 1, 3) V = (3, 1,…

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Q: Determine the direction angle 0 of the vector to the nearest degree. t= (9, 7) (Round to the nearest…

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Q: Suppose only F acts on the object and with this force only, the object experiences a displacement…

A: Introduction: When a force is acted upon an object, there is a displacement. The dot product of the…

Q: Find axb, a vector orthogonal to both vectors a' and b. a = (-3, 2, 1) and =(4, -2,5)

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Q: 3. Write ū as a sum of vectors, one in the direction of and another orthoganal to a. 18 [4] -5 [3³]

A: The given vector .The objective is to write the vector as a sum of vectors one in the direction of…

Q: Find the angle between two vectors a = (3,4,0) and b = (4,4, 2). O a. cos Cos cos-() O d. cos-() Ос.

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Q: Find the position vector for the vector having initial point (tail) at P and terminal point (tip) at…

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Q: I solve for the magnitude of the resuling vector and its correct. I got the the second part where my…

A: We have to show the direction of the resultant vector.

Q: Let v be the vector from initial point P₁ =(-7,-3) to terminal point P2 = (5,8). Write v in terms of…

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Q: Find the distance of point 4(2/3,2) from the line that passes through the origin and parallel to the…

A: follow next step

Q: To normalize x = (7,3) and obtain a unit vector in the same direction, what do you divide by?…

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Q: 2. Which of the following is not a unit vector? A. (0-2) 0. √5 √5 B. (cos 1, sin 1, 0) C. (1, 1, 1)

A: A vector v whose magnitude is 1 is called a unit vector. A vector v whose magnitude is any positive…

Q: (a) Write v = ai+ bj for some a and b. (b) Find the direction angle of v in degrees.

A: Given data: The initial point is -1,3. The initial point is 2,5.

Q: Given the vectors ü = -i - 2j + 3k and i = - 2i + 6j – 3k. _17. The unit vector in he direction of v…

A: A unit vector perpendicular to a vector a→ is represented as follows: a^=a→a→

Q: Find two linearly independent vectors perpendicular to the vector -- = ? 5 5

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Q: 2. An archer shoots an arrow from a tower to a distant target. Assume that the position of the a…

A: Given position of the arrow x(t), y(t)=50t, 18t-3t2+48 where 't' is in seconds. We know at the…

Q: find the length and direction of (u x v) and (v x u) u = 21 -2j - k, v =i - k

A: Determine the cross product.…

Q: Express the vector below as a sum of two vectors ₁ and ₂, where ₁ is parallel to the vector given…

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Q: Express the vector below as a sum of two vectors and ₂, where is parallel to the vector given below,…

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Q: it = (1, 0) for the unit vector, Daf(-3, 4) = fay(-3, 4) to you. True False

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Q: Where v is a vector. If v in R3 and v · v = 0, then v is the zero vector. True or false. Explain…

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Q: Find the unit vector having the same direction as i = ( – 1,9). V82 V82, 9. of- 1 9. V82 V82 O (1,…

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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.