What parameter value for t must be utilized to show that the point (124,-90) is on the line given by the attached vector equation?

Q: Parametrize the line that passes through the point (1,2,3) parallel to the vector v = -3i + 7k.

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Q: Find the vector and parametric equations of the line through the points A = (2,4,7) and B =…

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Q: 3a) Use the cross product to determine a unit vector that is perpendicular and in the opposite…

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Q: 2. Find the unit vector in the direction of

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Q: Find a vector equation and a parametric equation for the line that passes through the point (5, 1,…

A: We have to solve given problem:

Q: The terminal point of the vector v = 3i -j+ 5k with initial point (2, 5, -5) is Do not leave any…

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Q: In R3, derive the equation of a line in vectorial, parametric and canonical form.

A: Parametric equations of a line in R3 :Parametric equations of the line can be written as…

Q: Find the projection of v = [-3, 3, 6] onto the line L with vector equation x=td where d = [4, -3, 1]

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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.