Consider the lines I = -1+2s I – 5 l1 : 3 - z and l2 : y = s 4 z = 5+s I. Find two unit vectors that are parallel to l1. II. Determine the acute angle between l and lz. (Express your answer in terms of an inverse trigonometric expression). III. Find the coordinates of the point of intersection P of l1 and l2.

Q: a = 3i - j - 4k, b = 2i +4j - 2k, c = -i +6k a. 4a - b b. b * (c - a) c. ||a * b|| d. the angle…

A: Solution : Given, a=3i-j-4k b=2i+4j-2k c=-i+6k a.) 4a-b=4(3i-j-4k)+2i+4j-2k =14i-18k b.)…

Q: 2. A cyclist applies a force F with magnitude F = 50N in the same direction as the vector b = 4 j.…

A: We have to find the vectors.

Q: Determine if i = (1,0.-4) and w=(9,3,1) are parallel vectors.

A: Use the vector product to show the given vectors are parallel.

Q: -x+1 3+z Given the points R (1, -1, -3), the vector v = and the line d: = 1 + y = 3 2 1. Determine…

A: Both questions are solved.

Q: Solve the problem. Find the area of the triangle determined by the points P(-3, 6, -4), Q( 2, 10,…

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Q: 2. Find the distance between and

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Q: 1. Consider the lines x = -1+ 2s 3 – z l1 : 2 and l2 : y= s 4 -2 z = 5+ s а. Find two unit vectors…

A: This is a question of vector Algebra.

Q: V4-x² x2+y2 4-x² x²+y² xdzdydx + ædzdydx V1-x² 0,

A: The given integral is∫01∫1-x24-x2∫0x2+y2xdzdydx+∫12∫04-x2∫0x2+y2xdzdydxWe have to convert integral…

Q: please answer all i really need it and make sure it’s correct

A: (10).       (11). Step 1:--    Step 2:--Step3:--(12).

Q: Consider the lines x = -1+ 2s x – 5 l1 : 2 3 - z and l2 : y= s 4 -2 z = 5+ s Find two unit vectors…

A: Unit vector in the direction of a vector v is  =vv Acute angle between two vector u and v is given…