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Answer SP3. Foure vectors A-3)-2k,B--31, C 41 + 2j, and D-A x B. Find the angle...
#8 8. What is the cross product of the vectors A=-31 +3j -4k and B=4i +2j+k. What is the angle between A and B? 9. What is the scalar product of the vectors A= i +3j -2k and B= i +6j + 3k. What is the angle between A and B? 10. What is the scalar product of the vectors A= -31 +3j -4k and B=41 +2j+ k. What is the angle between A and B? 11. Find the area...
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
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]
Find the given quantity if v = 21 - 22 + 2k and w= - 41+2j - 3k. Iv-w] nts Iv-wll- (Simplify your answer. Type an exact value, using fractions and radicals as needed.)
Vector (Cross) Product 1. Find the vector product (2j-2k) x 5k. Sketch all three vectors onto the coordinate system below Answer: 10 Find the vector product of i+4j-3k and -2i+j-5k. Prove that your answer is perpendicular to the first two vectors by using the dot product Answer: -17i+11j+9k or 17i-11j-9k, depending on the order in which you took the cross product. 2.
Given vectors A = 3i -2j +k and B = 4i + 2j - 5k, find the angle between them. A car slows down from a speed of 60 mph to rest in 10 s, How far did it travel in that time?
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°
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.
3.Gi ven vectors A = tlt k and - 3 2j i the angle betwsen A and B this ure a) ind. and sketeh the moment arm from point 3 te the 7SON force b).. find the moment of the 7son cc
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