A particle has position vector given by r(t) = cos¯¹ (1) i+sin¯¹ (1) j. The distance travelled by the particle in the interval [-1,1] is closest to A. 6 B. √√3л C. 5 D. √2л

Q: The vectors a and b are such so that a = √10, b = 10 Find the value of lax bl. and a b = 30

A:

Q: 13. Given the points A(3,5) and B(- 3, - 7), find a. the vector equation of the line. b. the…

A: Here, the given points are A(3,5) & B(-3,-7)

Q: Given d₁ = [2 11³ and A = [21]. find a vector d₂ = [3 a] that is conjugate with L2 respect to d₁.

A:

Q: X = Find the vector equation for the line of intersection of the planes x − 5y + 5z = −5 and x + 5z…

A: Given the equation of planes x-5y+5z=-5 and x+5z=1. To find the vector equation for the line of…

Q: Let L be the line through the point Q = (- 6, - 9, - 10) and direction vector d = [- 1, - 2, - 2]^T.…

A:

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: Q6:- A/ Show that the vectors A. (BxC) B.(CxÃ)=C.(AxB), if the vectors A= 31-j+2k B=21+j-k C= i-…

A:

Q: 23. Find the angle between the vectors i = [-9,1, 3] and i = [0,2, – 5]. %3D

A:

Q: 13. Given the points A(3,5) and B( – 3, – 7), find a. the vector equation of the line.

A: