find an equation for the line through P perpendicular to v. Then draw a sketch of the​ line, including v as a vector starting at the origin.

Q: Find the value of aa in the vector →v=⟨a,b⟩v→=⟨a,b⟩ if b=15 and ||→v||=39|| v→ is in Quadrant I a=

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

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Q: Find the angle a between the vectors α= | and

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Q: The vector equation for the line segment that joins the point P(1, 3, –2) to the point Q(2, – 1, 3)…

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Q: The horizontal component of vector a is equal to the vertical component of vector 6. If 30° is the…

A: Components of a vector v→ :  Horizontal component is v→ cos θ Vertical component is v→ sin θ where θ…

Q: Determine a vector equation for the line that is perpendicular to 7 = (4, 1) + s(−3, 2), sER, and…

A: We need to find the equation of line perpendicular to r→=(4, 1)+s(-3, 2),  s∈ℝ and passing through…

Q: Find the direction angle of v for each vector. v = i + √3j

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Q: Write the vector v in terms of i and j whose magnitude||v|| and direction angle θ are given.

A: Write the vector v in terms of i and  whose magnitude||v|| and direction angle θ are given…

Q: Find the component form of the vector.The unit vector that makes an angle u = -3pi/4 with the…

A: Given: The unit vector that makes an angle  To find: The component form of the unit vector.

Q: Given initial point  P1 = (−2, 1)  and terminal point  P2 = (5, 4),  write the vector v in terms…

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Q: Find the angle between the vectors, and

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Q: point for the vect

A: What point is the endpoint for the vector corresponding to T(x)?

Q: A unit vector in the direction of the given vector is

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Q: Find the component form of the unit vector that makes an angle 0 = 3 2л with the positive x-axis.

A: We have to write the component form of the unit vector which makes an angle -2π/3 with positive x…

Q: Find the unit vector that has the same direction as the vector v. 31

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Q: Given u = and v = , sketch u - 2v and identify the direction (from standard position a.k.a. (+)…

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Q: Write the vector v in terms of i and j whose magnitude||v|| = 6, and direction angle θ = 30°.

A: It is given that magnitude||v|| = 6 and  angle θ = 30°.

Q: Find the direction angle of the vector u=

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Q: Create a simple track and field diagram and draw out the vector arrows where the following can be…

A: We need to assume a simple track and field diagram and mark the changes in the acceleration and…

Q: Find the given vector : Unit vector e making an angle of 4π/7 with the x-axis

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Q: Find the direction angle of v for each vector. v = -3 √3i + 3j

A: The vector is v=-33i+3j The standard form of vector is v=ai+bj By comparing we get  a=-33 and b = 3…

Q: Find the horizontal component of the vector if |V|= 4 and theta =50°

A: given |V|= 4 θ=50° horizontal component =|V|×Cosθ

Q: Find the vector v with v= 6 and direction 0 =150°.

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Q: Consider the points P(2,7) and Q(6, 4). Write PQ as a product of its magnitude and a unit vector in…

A: Given points are P(2, 7) and Q(6, 4).

Q: Find the Unit Vector for the given vector ,

A: The given vector is -5,12

Q: the magnitude and direction of this vector.

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Q: Find the direction angle 0 of the vector v = .

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Q: Find the angles between the vectors to the nearesthundredth of a radian. u = i + √2j - √2k, v = -i +…

A: The given vectors are u=i+2j-2k,v=-i+j+k.

Q: Find the unit vector that has the same direction as the vector v = -5j.

A: Given vector is v=-5j. Obtain the magnitude. v=-5j=-52=5

Q: Draw the vector V that goes from the origin to the given point. Then write V in componentform (a, b)…

A: Given vector V→=3, -3

Q: Define the points P(-4, 1), Q(3, -4), and R(2, 6).

A: Given P-4,1, Q3,-4, R2,6 To find the unit vector with the same direction as QR→

Q: Find the horizontal and vertical components for a vector having a magnitude of 15 and a direction of…

A: Ans = (13.0,7.5) I have done solution in detail....go through the sulution

Q: Find the component form of the given vector. y

A: Given:

Q: W =

A: By using magnitude and direction formula of vector, we calculate the required magnitude and…

Q: Let →a=⟨−2,−1⟩ and b→=⟨0,-5⟩. Find the angle between the vector, in degrees.

A: We can find the angle between the vectors as below.

Q: Write the vector v in terms of i and j whose magnitude||v||= 10, and direction angle θ= 330°.

A: Given: v=10 and θ=330o

Q: find an equationfor the line through P parallel to v. Then sketch the line. Include v inyour sketch…

A: Given,  P(1, 2),  v = -i - 2j

Q: If north is the direction of the positive y-axis and east is the direction of the positive x-axis,…

A: we have to solve given problem:

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: Write down the line equation a) given a point Q and a vector v. b) given two points R and Q.

A: Since, our aim is to find the equation of a line that is :-(a) passing through a given point Q and a…

Q: Find a vector equation of the line r through D4 and perpendicular to the line s through F4 and B1.…

A: Given,D4→ = 1i ^ + 2j^ + 3k^Equation of line passing through D4→ is:x-1a= y-2b=z-3cThe above line is…

Q: Find an equation for the line through P(11,10) parallel to vector v=2i-3j

A: Given point on the line is P(11,10) The vector parallel to the line is,v=2i-3j

Q: Calculate the magnitude and direction of vector A and B respectively?

A: Given, A¯=-5i^+2j^B¯=6i^-5j^

Q: Find the angle a between the vectors L3] and]

A: Find the angle between vector s

Q: Find the component form of the vector v  if ||v||= 5 and when drawn in the standard position v lies…

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Q: Find the vector v whose magnitude is 7 and whose component in the i direction is both positive and…

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