(d) comp5 (e) projzā

Q: nd the length of the vector fo raight line joining the points 5,2). Also find the angle made

A: Given, The vector is formed by the straight line joining the points 1,3 and5,2. The length is to be…

Q: 3. Write ū= as a sum of vectors, one in the direction of and another orthoganal to a. ā= [3] 图

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

Q: Find two unit vectors parallel to (2, 3).

A:

Q: As per attachment ,Which two vectors are parallel?

A: v1=4, 6,  v2=-3, -6,  v3=-8, 4  &  v4=10, 15.

Q: Find the requested vector in R2 where A = (-3, 6), B = (8, –6) and C = (7,4). -2AB + 7CB = help…

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Q: Find the angle between vectors a= (-/2, 0, v2) and b = (-1,1,0). %3D

A:

Q: (€) Let a = and b = be two vectors. What is al2|b|? - |a · b|? ?

A: Given vectors are, a=2-10  and b=-111 The modulus of the given vectors will be, a=22+-12+0…

Q: Find the point functions t= d6i +(e-6); +(-€)4 and 40=(2+2-/it (5- €);t (1-56)4 Intersect. at which…

A: Given: Two vector functions as r1t=2ti+t2-6j+-13t3k and r2t=2+2ti+5-tj+1-5tk, To find: The…

Q: Explain how to write a vector in terms of its magnitude and direction.

A: A vector is a geometric representation of magnitude and direction with respect to the set of…

Q: x - 5x², Let v₁ = 9 + 6x², v₂ = 2 - − - V3 = 3 + x − 7x². Determine whether these three vectors are…

A: Vectors v1=9+6x2,v2=2-x-5x2,v3=3+x-7x2. The objective is to determine whether these vectors are…

Q: Consider the vectors A= (4, -2, 2), B =-(-2,3,0), and C= (0, 2, 1). 1. Find the following. (a) B- A…

A:

Q: How can we find the cartesian equation from a vector equation?

A: Equation of line in vector form is:r→=a→+λb→Where,a→=x1i→+y1j→+z1k→ b→=b1i→+b2j→+b3k→

Q: Determine the angles between the following pairs of vectors. (a) (−1, 1), (0, 1)     (b) (2, 0), (1,…

A: To determine the angles between the following pairs of vectors.

Q: Find the dot product of vectors and .

A:

Q: . Consider the following vectors 7 -3 b₁ ( 1 ), b₂ = (-1), G₁ = ( 1 ) ₁2 = (-²). C1 , 5 2 and…

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Q: Describe the result when a point or line is changed by a vector

A: We will describe this.

Q: u = (7,2,-5) and v = (9,-1,-6).

A:

Q: True or false, justify your answer The vectors v1 =(2,1), v2 =(1,2) and v3= (5,7) are independent.

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Q: Find the angle between the vectors a =i -j+k and b=i+j-k. (Write your answer in form of decimal and…

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Q: Determine if the three vectors lie in the same plane: a = (-2, 1, 3) and b = (3,-2,4), and =(-19,…

A:

Q: Consider the vectors Vị = 2 , V2 = V3 3 E R³. , V4 = Find the first vector in this list which is not…

A:

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.