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Example 17 Find I a – b I, if two vectors a and b are such that I a I = 2, I b I = 3 and a . b = 4.
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Nov
Example 17 Find I a – b I, if two vectors a and b are such that I a I = 2, I b I = 3 and a . b = 4. Example 17 Find I a - b I I b I = 3 and a . b = 4. if two vectors [...]
Example 16 Find the projection of the vector a = 2i + 3j + 2k on the vector b = i + 2j + k .
05
Nov
Example 16 Find the projection of the vector a = 2i + 3j + 2k on the vector b = i + 2j + k . Example 16 Find the projection of the vector a = 2i + 3j + 2k on the vector b = i + 2j + k . November 5, 2021 [...]
Example 15 If a = 5i – j – 3k and b = i + 3j – 5k, then show that the vectors a + b and a – b are perpendicular.
05
Nov
Example 15 If a = 5i – j – 3k and b = i + 3j – 5k, then show that the vectors a + b and a – b are perpendicular. Example 15 If a = 5i - j - 3k and b = i + 3j - 5k then show that the vectors [...]
Example 14 Find angle ‘θ’ between the vectors a = i + j – k and b = i – j + k .
05
Nov
Example 14 Find angle ‘θ’ between the vectors a = i + j – k and b = i – j + k . Example 14 Find angle ‘θ’ between the vectors a = i + j - k and b = i - j + k . November 5, 2021 Category: Chapter 10 - [...]
Example 13 Find the angle between two vectors a and b with magnitudes 1 and 2 respectively and when a . b =1.
05
Nov
Example 13 Find the angle between two vectors a and b with magnitudes 1 and 2 respectively and when a . b =1. Example 13 Find the angle between two vectors a and b with magnitudes 1 and 2 respectively and when a . b =1. November 5, 2021 Category: Chapter 10 - Vector Algebra [...]
Example 12 Show that the points A(2i – j + k ), B(i – 3j – 5k ), C(3i – 4j – 4k ) are the vertices of a right angled triangle.
05
Nov
Example 12 Show that the points A(2i – j + k ), B(i – 3j – 5k ), C(3i – 4j – 4k ) are the vertices of a right angled triangle. B(i - 3j - 5k ) C(3i - 4j - 4k ) are the vertices of a right angled triangle. Example 12 Show [...]
Example 11 Consider two points P and Q with position vectors OP = 3a – 2b and OQ = a + b. Find the position vector of a point R which divides the line joining P and Q in the ratio 2:1, (i) internally, and (ii) externally.
05
Nov
Example 11 Consider two points P and Q with position vectors OP = 3a – 2b and OQ = a + b. Find the position vector of a point R which divides the line joining P and Q in the ratio 2:1, (i) internally, and (ii) externally. (i) internally and (ii) externally. Example 11 Consider [...]
Example 10 Find the vector joining the points P(2, 3, 0) and Q(– 1, – 2, – 4) directed from P to Q.
05
Nov
Example 10 Find the vector joining the points P(2, 3, 0) and Q(– 1, – 2, – 4) directed from P to Q. – 4) directed from P to Q. 0) and Q(– 1 2 3% Example 10 Find the vector joining the points P(2 November 5, 2021 Category: Chapter 10 - Vector Algebra , [...]
Example 9 Write the direction ratio’s of the vector a = i + i – 2k and hence calculate its direction cosines.
05
Nov
Example 9 Write the direction ratio’s of the vector a = i + i – 2k and hence calculate its direction cosines. Example 9 Write the direction ratio’s of the vector a = i + i - 2k and hence calculate its direction cosines. November 5, 2021 Category: Chapter 10 - Vector Algebra , Maths [...]
Example 8 Find the unit vector in the direction of the sum of the vectors, a = 2i + 2j – 5k and b = 2i + 2j + 3k.
05
Nov
Example 8 Find the unit vector in the direction of the sum of the vectors, a = 2i + 2j – 5k and b = 2i + 2j + 3k. a = 2i + 2j - 5k and b = 2i + 2j + 3k. Example 8 Find the unit vector in the direction of [...]