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Math 12 Chapter 7
Vectors
Test - 9
1.
(4i+j+3k)x(2i-3j+5k)
i+j+k
i-j-k
14i-14j-14k
14i + 14j + 14k
2.
(i + 2j) xk
-j - 2i
2i -j
j x i
j + 2i
3.
(I-2j-3k).(2i+j-k)x(I+3j-2k)
i=k
i - k 4j
20i
20
4.
(4i-3j+k).(4i-7j+4k)
Work done = 24
Work done = 54
Work done = 41
Work done = 44
5.
Area of triangle with vertices A(3,-1,2) B(1,-1,-3) C (4,3,1)
�/2
𕔆/155
𕔆/165
�/2
6.
2j x (3i - 4k)
-8i = 6k
-8i -6k
8i +6k
8i x 8k
7.
1/6 [a.(b x c)]
volume of tetrahedron
Volume of parallelepiped
Area of parallelepiped
Area of tetrahedron
8.
(4i + j - 2k) x (3i +k)
i - 10j -3k
i - j -3k
i - 3j -3k
i - 10j -k
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