The velocity vector of a particle in the xy-plane is (√7, 9e³-3) for all real t. If the position of the particle at t = 1 is (9, 8), then the position vector of the particle is Select one: O.a. 3 O b. ○ c. 33 + 3e31-3 +5 4 (+1³, 90³-3-1) (+1³, 30³-3) 3e O d. -1,3e³-1+5 4

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

A:

Q: - - 1. If à = 2ảx + 6ảy – 3ả₂ and ☎ = −3ảx – 4ảy – 5ả₂, find a. a unit vector in the direction of A…

A:

Q: Let i = [-1 4] and j = [-4 1]. Find the following vectors. i = 62 i = -6j = | w = 62 – 6ỹ = = [ -

A:

Q: Graph the two vectors x= (5, 1,3) and y=(-1,3,1

A: Topic:- 3D

Q: Let = [-3 1] and = [1 2]. Find the following vectors. [ ]]. ]]. u = 7y= = [1 w = 2x + 7y = [ v=27=…

A: Given: Let x→=[-3  1] and y→=[1  2].

Q: Give the vector equation of the line passing through P and Q

A: To find the equation of the line passing through P and Q.

Q: (b) 4x Find any values of x such that the vectors 3 and are parallel X-1 to each other.

A:

Q: Let i = [1 -4] and y = [4 -6]. Find the following vectors. i = 57 ü = 2g =| w = 5i + 2j =||

A: The solution is given below:-

Q: Find the equation of the line L that passes throught point P ( – 4, 3, 7) and Q( – 8, 1, − 5). Enter…

A: r(t)=<-4,3,7>+t<-4, -2,-12>Explanation:Hope it helps youplease ask if you have any…

Q: Q2. ()- Work out a - 2b as a column vector.

A: Given

Q: If v + w = [ 5/1 ] and v - w = [ 1/5 ],compute and draw the vectors v and w.

A: Vector: An object which has both magnitude as well as direction is called a vector. We can draw a…

Q: Determine the vector 8a – 7b if a = -3i + 2j – 4k and b = 5i + 6j + 2k. 8a – 7b help (vectors)

A:

Q: 3. If a = 3x - 5y and b=-2x+9y, write the vector 5a-8b in terms of x and y

A:

Q: Let = [-5 1] and = [6-6]. Find the following vectors. [ = -6y = [ w = 5x – 6y = [ | v=5z ]]

A: A detailed solution is given below.

Q: Determine the vector 2a – b if a = -4i + 5j and b = 7i + 2j. %3D

A:

Q: Find the vectors T, N, and B at the given point. - (²2², ²₁³, t), (1, - ²-₁, -1) = T = N = B = r(t):

A: To find the vectors T, N, and B at the given point, we need to differentiate the position vector…

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…