The vector v has initial point P and terminal point Q. Write v in the form ai + bj; that is, find its position vector. P=(-1,-7), Q= (9,- 9) What is the position vector?

Q: find an equationfor the line through P perpendicular to v. Then sketch the line. Includev in your…

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Q: point for the vect

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Q: What is the direction of the vector with an initial point of (3,-5) and a terminal point of (8, 6)?…

A: The initial point is (3, -5) and the terminal point is (8, 6)

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A: As per guidelines, we'll solve only one question if multiple questions are asked. If you need any…

Q: For the pair of vectors find 2U-3V

A: U=6, 6V=6, -62U=26, 6      =2×6, 2×6      =12, 12

Q: given the vector, PQ, whose initial point is P(-2,-5) and whose terminal point is Q(3,4) the…

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Q: write the given vector in terms of i and j. u= (-8,5).

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Q: Express the given vector in terms of the unit (о, -5, 7)

A: Given query is to express the vector inthe form of unit vector.

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A: Given that the vector “v” has initial points, P = (-1, 2)   Terminal points Q = (3, -4)

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A: given vectoru=(0,-9)

Q: nd the vector that has the same direction as <3, -1, 4) but has length 52.

A: First find unit vector of direction then multiply with given magnitude

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Q: 22. Given the symmetric equations t = - and t = +', find the vector equation of the line.

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A: To find- vector u.

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Q: = Find the vector equation for the line passing through the points P₁ P₂ = (2,7-13). (5,-1,-5) and

A: The given points are;  P1=(5,-1,-5) and P2=(2,7,-13).

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Q: Find the magnitude of the resultant vector. (-25.6, 7.7)- (-11, -9.8) 1R

A: letA→=-25.6, 7.7 and B→=-11,-9.8

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

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Q: For the vector r (3, - 1), what is -4r? The vector - 4r = ( ).

A: Given :   Vector r =  ⟨3, -1⟩  To find : -4r ?

Q: Find the vector equation of a line ?L going through the points (4,−2)(4,−2) and (4,−3)(4,−3).

A: given information : r0=(4,-2)r1=(4,-3)equation of line=r0+t(r1-r0)

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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 component form of the vector. The vector PQ, where P = (1, 3) and Q = (2, -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.