Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j and k. (a) Same direction as - 2i+5j. u (b) Oppositely directed to 6i- 4j+ 4k. (c) Same direction as the vector from the point A(-2, 0, 2) to the point B(2, 1, 1).

Vector u = <-7,3,-5> and vector v = <-1,1,0>. Find u X (-9v)

What is the angle between theses two vectors A = 14i – 5j +11k and B = 3i + 7j+ 10k ?

I need the answer to D

Determine a unit vector parallel to the resultant vector of 2i + 9j – 9k lb, – 2i – 6j + 8k lb, and - 2i + 6j + 4k lb. i + V X k) lb R = ( -0.206 0.92 j+ | 0.3

I need the answer as soon as possible

For the following three vectors, what is 3 . Ć · (2 A × B )? A = 2.00î + 4.0oĵ – 3.00k B = - 3.00î + 3.00) + 4.00k Č = 6.00î – 8.00ĵ Number i Units

show that the vectors A= 1/2 q1+ 1/2 q2+1/2 q3+ 1/2 q4 and B= 1/2 q1 - 1/2 q2 + 1/2 q3 - 1/2 q4 . where q1, q2, q3, and q4 are unit vectors, are orthogonal.

Let the x-, y-, and z-axes be identified as axes 1, 2, and 3, respectively. Find the angle between A and axis 2 if A=0.17, Ay = 2.76, and A₂ = 2.98. [Hint: Write the unit vector in the direction of axis 2 and use A. B = A₂ B₂ + A, B, + A₂B₂ = AB cos 1 Φ Record your numerical answer below, assuming three significant figures. A