
Two vectors A = -3i + 4j - 2k and B = 5j + 2k act on an object. Determine: (a) the magnitude of A the magnitude of B A: B the angle between A and B
Test 1 Version B Two vectors are given by A -3i + 5j-2k and B 4i + 6j +7k (a) Find A B (b) What is the angle between the vectors?
Let the two vectors A=4i+5j+3k,B=-2i+3j-4k, and C=3i-5j+k find: A. S= A+3 B+6C B. (-5A .B).3C C. (3B*2A)+C D. Find the angle a between A and C Let the two vectors A=4i+5j+3k,B=-2i+3j-4k, and C=3i-5j+k find: A. S= A+3 B+6C B. (-5A .B).3C C. (3B*2A)+C D. Find the angle a between A and C
7. Two vectors are given as follows: | = -2i – 5j + 2k B = -41 – 23 – 3k (-2,-5,2% 2.4, 2, 37 What is the angle between the vectors? A. 114º B. 67° C. 41° D. 132° E. 94°
4. Determine the scalar triple product of the vectors: 3i2k and c = 3i+ j + 2k a i2jk; b 5. Ifa 3i 2j - k; b = 2i +5j - kand C i + 2j - 2k, find: ax (b x c) (ax b) x t i. ii
4. Determine the scalar triple product of the vectors: 3i2k and c = 3i+ j + 2k a i2jk; b 5. Ifa 3i 2j - k; b = 2i +5j -...
Arrange the following vectors in the order of their magnitude, with the vector of largest magnitude first. (i) A = ( 3i + 5j - 2k) m; (ii) B = (-3i + 5j -2k) m; (iii)C = (3i - 5j - 2k ) m; (iv) D = (3i _ 5j +2k ) m.
7. Consider the vectors v = 3i - 5j, and u = -41 - 2j. Determine whether these vectors are orthogonal. If not orthogonal, determine the angle they form, to the nearest tenth of a degree.
Using the definition of the scalar product, find the angle between the following vectors. (Find the smallest nonnegative angle.) (a) A = 6i - 7j and B = 8i - 5j [17.33] (b) A = 3i + 3j and B = 3i - 4j + 2k (c) A = i - 2j + 2k and B = 3j + 4k
Using the definition of the scalar product, find the angle between the following vectors. (Find the smallest nonnegative angle.) (a) A = 7i − 8j and B = 3i − 5j ° (b) A = −3i + 6j and B = 3i − 4j + 2k °
8. Given the vectors: A 3i -4j & Bi+ 6j, a) Graph vector A & vector B on the same coordinate system b) Find the scalar product A.B c) Find the magnitude of vector A d) Find the magnitude of vector B- e) Find the angle between vector A & vector B