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Homework Wk - 2

# Homework Wk - 2 - a = i 3 k b =-j k using the determinant...

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QIBT 1201BPS MATHS 1A Homework Question 1 Calculate the following determinants and check that you get the answers given (a) 3 2 2 4 (b) 3 2 2 4 - (c) 3 2 5 4 - (d) 4 2 1 4 3 1 0 2 3 - (e) 1 2 1 4 3 1 2 7 1 - - Question 2 - 1 (a) Draw the vectors a = j and b = i + j on a 3D diagram (b) Now get your right hand and curl your fingers from a to b (c) Which way does your thumb point ? (d) What is the direction of the vector a × b ? Question 2 - 2 (a) Draw the vectors a = - j + k and b = i - j on a 3D diagram (e) Now get your right hand and curl your fingers from a to b (f) Which way does your thumb point ? (g) What is the direction of the vector a × b ? 1201BPS 1

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Question 3 - 1 Cross product (a) Find the cross product a × b of the vectors a = i + 2 k , b = -3 j + k using the determinant method (b) Draw a 3D diagram using right handed axes and draw on it the vectors a , b and a × b Question 3 - 2 Cross product (a) Find the cross product a × b of the vectors
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Unformatted text preview: a = - i + 3 k , b = -j- k using the determinant method (b) Draw a 3D diagram using right handed axes and draw on it the vectors a , b and a × b Question 4 - 1 Given a triangle with one corner O at the origin and the other two corners are P = (3, 4, 2) and Q = (3, 0, -3) (a) Find the vectors OP and OQ and PQ (b) Use the cross product to find a vector perpendicular to both OP and OQ (c) Use your answer to (b) to find the area of the triangle PQR. Question 4 - 2 Given a triangle with one corner O at the origin and the other two corners are P = (1, 3, 2) and Q = (-3, 1, 0) (a) Find the vectors OP and OQ and PQ (b) Use the cross product to find a vector perpendicular to both OP and OQ (c) Use your answer to (b) to find the area of the triangle PQR. 1201BPS 2...
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Homework Wk - 2 - a = i 3 k b =-j k using the determinant...

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