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3. Consider two vectors u = 2i -j +2k and v=3i+2j-k. (a) Find a vector orthogonal...
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. 2. Find u v and the angle between vector u and v for a) u = 2i – 2j + k, v = 3i + 4k b) u = v3i – 7j, v = v3i+j – 2k c) u = 2i +j, v= i + 2j – k
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
Find a vector that is orthogonal to u = -2i+ 5j - 3k and w = 3i+2j+k.
please solve 9. Which of the following is an orthogonal pair of vectors? (a) 2i - ji + k (b) i- j + 2k, -i-j-k (d) 5i + j + k, -i +2j + 3k (e) None of these - **-*-*-* (c) 3i - 2k, 2j - k
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.
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 -...
Find the vector projVu. v=3i−j+3k, u=10i+11j+2k
a b с 3. If a = i-2j+3k and b 3i+j + 2k, find a unit vector along c which is a linear combination of a and b and also perpendicular to b.
1) 2) Use the vectors u = 2i - j, v = 21 - 3j, and w = -3i + 5j to evaluate the expression. 2v - u + w Find a unit vector in the same direction as the given vector. a = 201 - 21j