Q.1 If a = 3i - j-4k, b= -2i + 4j- 3k and c =i+ 2j-k. - Find unit vector parallel to 3 a -2 b +4 c .

Q: a= b=

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Q: Specify the unit vectors a = 2i + 3j-k and b = 3i + 4j.

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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: How do you know what the vector b is?

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Q: Let a = -2 and b = 3 (b) = the component of b in the direction of a . = (-5*14^0.5)/7 -2 be vectors.…

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Q: The vector component of A = 62 + 3ŷ + 32 along B=-22 +79 + 42 is: O a. 0.61âx+-213ây+-1.65âz O b.…

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Q: Find the vector equation of the line that goes through the point (10,15,9)(10,15,9) and is…

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Q: Find the solution set of the following vector equation.

A: In this question, we solve the system of equations. Here, we write the system in the matrix form,…

Q: has an initial point (-3, -6) and terminal point (4, 5). Write as a linear combination of the…

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Q: For the vector, find V v = (-5, 3) v= -V 4V = || -V, and 4V.

A: Given : 1)V=-5,32)V=2i+6j   To Find : 1) 12v2)  -v3)  4v

Q: IF A =2âx+4ây , B =-3âx+âz and C =2ây+3âz, the vector in the plane containing A and C and…

A: Given: Let us consider the given values as ,  A→,B→,C→A→=2a^x+4a^yB→=3a^x+a^zC→=2a^y+3a^z

Q: Find the unit vector of A=3ax+2ay-3az

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Q: The cross product of the vectors a = 2i - j+ 3k and b= 4i – 2j + 6k is likely to be the zero vector…

A: If vectors are parallel then cross product will be zero check they parallel or not

Q: M] - [8] x+y -3x+y.

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Q: 35. For m = (-5, -6) and = (6, −9) find the sum of the vector three times the magnitude of m and the…

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Q: Q4\ Find the vector if its magnitude equal √90 and its unit vector is 4i 5j 7k + √90 √90 √90 -

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Q: Determine the angle that the vector [-1, -1] makes with the positive horizontal X-axis

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Q: photo is attached

A: Given informationVector V = (-3, 5)

Q: Express the equation of the line that passes through the point p (2,6, -7) and v (3, -4,1) the…

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Q: 19. Given the following vectors: A = 2i-3j+ 6k, B = 8i +2j - 3k and C = i-4j + k. Find * (A+B).C a.…

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Q: 1. Determine whether the points A(3,4,-1) and B(1,-1,0) lie on the line with vector equation…

A: Given vector equation :

Q: how can i learnd about vector in r2 and r3?

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Q: Describe all solutions of Ax = 0 in a vector form, where -4 -2 0 3 2 0 0 0 1 1 A = -1 -4

A: Here given matrix is

Q: Do the vectors A = 2ax +ay-4az, B =3ax %3D -2ay + az and C = ax -3ay +5az form a %3D right triangle?…

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Q: Write a vector equation that is equivalent to the given system of equations. X2 + 4xg =0 4x, + 6x2 -…

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Vector Arithmetic

Vectors are those objects which have a magnitude along with the direction. In vector arithmetic, we will see how arithmetic operators like addition and multiplication are used on any two vectors. Arithmetic in basic means dealing with numbers. Here, magnitude means the length or the size of an object. The notation used is the arrow over the head of the vector indicating its direction.

Vector Calculus

Vector calculus is an important branch of mathematics and it relates two important branches of mathematics namely vector and calculus.