Question

a) A Rhombus is a flat shape with 4 equal straight sides (see figure 1). Use vector product to show that the diagonals of a rhombus are perpendicular to each other [3 marks] Figure 1: Rhombus. b) A triangle has vertices at A(2,3,1), B(-1,1,2), and C(1,-2,3). Find the length of the median drawn from B to side AC and the acute angle which this median makes with side BC [5 marks]

          a) A Rhombus is a flat shape with 4 equal straight sides (see figure 1). Use vector product
to show that the diagonals of a rhombus are perpendicular to each other [3 marks]
Figure 1: Rhombus.
b) A triangle has vertices at A(2,3,1), B(-1,1,2), and C(1,-2,3). Find the length of the
median drawn from B to side AC and the acute angle which this median makes with
side BC [5 marks]

a) A Rhombus is a flat shape with 4 equal straight sides (see figure 1). Use vector product
to show that the diagonals of a rhombus are perpendicular to each other [3 marks]
Figure 1: Rhombus.
b) A triangle has vertices at A(2,3,1), B(-1,1,2), and C(1,-2,3). Find the length of the
median drawn from B to side AC and the acute angle which this median makes with
side BC [5 marks]

Added by Matthew S.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

06/20/2023

Step 1

First, let's find the midpoint D of side AC. To do this, we can use the midpoint formula: D = ((xA + xC)/2, (yA + yC)/2, (zA + zC)/2). Given the coordinates of A(2,3,1) and C(1,-2,3), we can find D as follows: D = ((2+1)/2, (3-2)/2, (1+3)/2) = (3/2, 1/2, 2). Show more…

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a) A Rhombus is a flat shape with 4 equal straight sides (see figure 1). Use vector product to show that the diagonals of a rhombus are perpendicular to each other [3 marks] Figure 1: Rhombus. b) A triangle has vertices at A(2,3,1), B(-1,1,2), and C(1,-2,3). Find the length of the median drawn from B to side AC and the acute angle which this median makes with side BC [5 marks]