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
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
QUESTION 15 Suppose u = 71 - 3j+k, v=-4j+3k. Find proj,u. O A. 21 9 5j+ 3 +-k ОВ. 60 + نوی 45 k 59 59 45 OC 105 i 59 so.it 15 k 59 4 OD. 15 i 59 + 15 k 59 59 OE. 12 9 + -k 5
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°
For the circuit shown in the Figurel, find 1 3k 6k R4 R1 R2 4k R5 12k R6 12k R3 2k 810 Figure 1
#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
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.
For A with arrow= 5î + ĵ − 4k, B with arrow = −î + 4ĵ + 2k, and C with arrow = 4ĵ − 3k, find C with arrow · (A with arrow − B with arrow).
Let →a=2→i−5→j−2→ka→=2i→-5j→-2k→ and →b=5→i−→kb→=5i→-k→. Find −→a+→b-a→+b→. Let ā = 27 – 53 – 2k and 7 = 57 - K. Find - ã+ 7. <3i Х 5j k X>