The direction vector of the equation below is : X = -1 +2t y = 3 + 3t

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Q: Find the new equation of the line y=x after applying the translation by the vector (2, -1)

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Q: (c) a = 3i - 2j + 5k and b= -2i-j+k, find 2a - 36 and also its unit vector.

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Q: Find the y-component of this vector: 12.0 m 73.3° Remember, angles are measured from the +x axis.…

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Q: For the problem below, the magnitudes of the horizontal and vertical vector components, Vz, and Vy,…

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Q: b) Find the counter-clockwise angle of rotation of axes to remove the xy term in the equation 12x² +…

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Q: Vector a is expressed in magnitude and direction form as a = (V30, 110°). What is the component form…

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Q: I Determine an equation for each of the following lines Aa The line y=-5x +9, in vector form CR?) b)…

A: The form is shown below please follow.

Q: Find the component form of the given vector. v = y 51 4 X -6 5 -4 2.

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Q: the y-axis direction

A: Given: f(x, y)=ex lny5 at point (x, y, z)=( ln2, 5e, 2) To find: The slope in the y direction.

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Q: A ship "A" started sailing N40°32'E, at the rate of 3 mph. After 2 hours, ship "B" started from the…

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Q: The direction of vector RS = is А. 300 В. 150° C. 120° D. 240° Е. 30

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Q: Draw the coordinate axes relative to u and v and locate w.

A: Given: u=−21,v=2−2,  w=−u−2v

Q: Q:2) Find a vector that is parallel to the line whose equation is 5x-4 4-2z = 3 - 6y = 7 5

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Q: The direction vector of the equation below is : c=−2+3t y = 3+2t O [3, -2] O [3, 2] O [2, 3] O 1-2,…

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Q: Find a point Q such that (i) P Q has the same direction as v. (ii) P Q has the opposite direction as…

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Q: if the position function vector r = toi +6tj , find the direction of the vector at time 1 sec جد…

A: Given: r(t)=t3i+6tj.

Q: Consider the line L(equation y=1/2x+4) and the triangle A(2,4) B(4,6) C(2,6) what will be the…

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Q: A straight river flows east at a speed of 8 mi/h. A boater starts at the south shore of the river…

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Q: The equation r(t)=2t i+2t−16t2 j is the position of a particle in space at time t. Find the angle…

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Q: Suppose you are heading due east and then find out you have been off-course the whole time by 1.5°…

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Q: Find the equation of line passing through point P(1, –1, 2) , the direction of the line is parallel…

A: The line passes through the pointP→ = i-j+2kThe line parallel to the lineV→ = i-2i+kThe vector…

Q: Identify the DIRECTION VECTOR and a POINT on each of the following lines: (а) 7 = (3,4) + t(2, 1),…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Find the equation of the line that goes through the point A = (5, –3, –4) and is parallel to the…

A: Given that the line passes through the point A=5,-3,-4 and is parallel to the vector  v=-2,4,3 The…

Q: Find the equation of the line that passes through the point ( 8, 8, 2) and parallel to the vector .…

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Q: Find a vector equation of the line that passes through A(5,-4) and B(1,-1)

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Q: write the equation of the line passing through P with direction vector d in (a) vector form and (b)…

A: Given the point P=(-4,4) and the direction vector d=11We need to find the equation of line passing…

Q: Find the direction of the resultant vector. (-25.6, 7.7) - [?]° (-11, -9.8) Round to the nearest…

A: topic - vectors

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Q: Find the vector equation of the line between the points (3, -1, 2) & (1, 4, -1), then graph the…

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Q: Find the equation of the perpendicular bisector of the line join- ing the points with position…

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Q: Question 3 Find the length of the curve with the given vector equation. r(t) = (8 - 21) i+ (4 + 6t)…

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Q: Consider a object thrown from (0,0,0) at a speed of 500 ft/sec, with an angle of 45 degrees. What is…

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Q: Find the vector form of the equation of the line in R2 that passes through P= (2, - 1) and is…

A: If a line is parallel to another line, then they have same slope.

Q: write the equation of the line passing through P with direction vector d in (a) vector form and (b)…

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Q: Write the vector form of the line 4x-2y=3. Use this vector form only, and then plot the line

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Q: Find the vector equation of the line passing through the point (1, 2, - 4) and x-8 y+19 z-10 x-15 у…

A: To find the equation of line perpendicular to the given lines first we find vector perpendicular to…

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.