2. Which of the following pairs of vectors are orthogonal? (a) v = 3i - 2j, w = --i +2j (b) v = -2i, w = 5j (c) v = -i + 2j, w = -1 (d) v = 2i – 3j, w = -2i + 3j (e) None of these
3. Consider two vectors u = 2i -j +2k and v=3i+2j-k. (a) Find a vector orthogonal to a and b. _ [3 marks] (b) Show that the vector from (a) is orthogonal to a and b. [1 mark]
6-7. Given vectors U = -4i +12, V = 5i - 2j, W=-3i- 6. Find a) 30 - 5V._b) 2V - W'. 7. a) UW What can you tell from the result? b) angle between U and V (keep one digit after decimal. calculato
ho Determine whether v and w are parallel, orthogonal, or neither. v=3i - 5j 21 w=7i+5 Are vectors v and w parallel, orthogonal, or neither? O Parallel O Neither Orthogonal Click to select your answer
2. Given the vectors u = 2i + 3j and v = -3i - 2j (a) (4 points) Plot and label each vector (b) (4 points) Find w = u + v (c) (4 points) Find the unit vector of w
-/1.42 POINTS MCKTRIG8 7.6.021. - For the following pair of vectors, find U. V. U = -15i + 5j, V = 5i - 3 Need Help? Read It Talk to a Tutor -/1.42 POINTS MCKTRIG8 7.6.025. Find the angle between the given vectors to the nearest tenth of a degree. U = -5i + 7j, V = 81 + 3j = Need Help? Read It Talk to a Tutor
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 -...
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
Two vectors A = -3i + 4 - 2k and B = 5j + 2k act on an object. Determine: (a) the magnitude of A (b) the magnitude of B A.B (c) the angle between A and B
4. [-12 Points) DETAILS SCALCET8 12.3.011. If u is a unit vector, find u v and u. w. (Assume v and w are also unit vectors.) u u v = Uw= 5. [-12 Points] DETAILS SCALCET8 12.3.015. Find the angle between the vectors. (First find an exact expression and then approximate to the nearest degree.) a = (7,2), b = (3,-1) exact approximate 6. [-/2 points) DETAILS SCALCET8 12.3.019. Find the angle between the vectors. (First find an exact expression...