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Detailed Solution for Test: Vector Algebra- 2 - Question 1

Test: Vector Algebra- 2 - Question 2

If a vector is expressed in component form as then the magnitude of the vector is

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Test: Vector Algebra- 2 - Question 7

If a vector is expressed in component form as then x, y and z are referred to as

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Test: Vector Algebra- 2 - Question 8

Show that the points A(1, – 2, – 8), B (5, 0, – 2) and C (11, 3, 7) are collinear, and find the ratio in which B divides AC.

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Test: Vector Algebra- 2 - Question 10

Let the vectors be such that is a unit vector if the angle between vectors is

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Test: Vector Algebra- 2 - Question 13

Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are externally in the ratio 1 : 2. Also, show that P is the mid point of the line segment RQ.

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Test: Vector Algebra- 2 - Question 20

If θ is the angle between any two vectors when θ is equal to

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Test: Vector Algebra- 2 - Question 25

Find the area of the triangle with vertices A(1, 1, 2), B(2, 3, 5) and C(1, 5, 5).

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