If š ā ≠ 0 ā, š ā. š ā = š ā. š ā, š ā × š ā = š ā × š ā , then show that š ā = š ā.
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CBSE Class 12 Sample Paper for 2022 Boards (For Term 2)
Question 1 (Choice 2)
Question 2 Important
Question 3
Question 4 Important
Question 5
Question 6 Important
Question 7 Important
Question 8 (Choice 1)
Question 8 (Choice 2)
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Question 10 (Choice 1)
Question 10 (Choice 2)
Question 11 Important
Question 12 (Choice 1)
Question 12 (Choice 2) Important
Question 13 Important
Question 14 - Case Based Important
CBSE Class 12 Sample Paper for 2022 Boards (For Term 2)
Last updated at May 29, 2023 by Teachoo
Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class
Question 9 If š ā ā 0 ā, š ā. š ā = š ā. š ā, š ā Ć š ā = š ā Ć š ā , then show that š ā = š ā. Given that š ā. š ā = š ā. š ā Now, š ā. š ā = š ā. š ā š ā. š ā ā š ā. š ā = 0 š ā. (š ā ā š ā) = 0 Thus, either (š ā ā š ā) = š ā Or š ā is perpendicular to (š ā ā š ā) š ā Ć š ā = š ā Ć š ā Now, š ā Ć š ā = š ā Ć š ā š ā Ć š ā ā š ā Ć š ā = š ā š ā Ć (š ā ā š ā) = š ā Thus, either (š ā ā š ā) = š ā Or š ā is parallel to (š ā ā š ā) Since š ā cannot both be perpendicular and parallel to (š ā ā š ā) Therefore, the only other solution is (š ā ā š ā) = 0 ā š ā = š ā Hence proved