Vectors

Question 1

Set 1 Problem 68: Find the angle between the vectors 3i+2j+5k and -4i+j+6k.

Answer 1

63.53°

Question 2

Set 3 Problem 68: Find the area of a triangle with vertices at P(1,4,6), Q(-2,5,-3) and R(3,-1,1).

Answer 2

30.65 (p.54)

Question 3

Set 5 Problem 72: Find the cross product of the 2 vectors A=3i-4j+6k and B=-2i+8j+k.

Answer 3

-52i -15j+16k (p.89)

Question 4

Set 6 Problem 66: Compute the magnitude of the vector F=2i-5k+8k.

Answer 4

6.71 (p.105)

Question 5

Set 6 Problem 75: Given the 2 vectors A=2i+4j and B=ai+bj. Find the value of a if AxB=0 and AdotB=30.

Answer 5

3 (p.106)

Question 6

Set 7 Problem 34: Find the angle between the vectors, A=2i-j+2k and B=6i+3j+k.

Answer 6

57.27° (p.116)

Question 7

Set 9 Problem 5: The cross product of two vectors A=6i+8j and B=xi-4j is zero. Find the value of x.

Answer 7

-3 (p.145)