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Given and , the component of perpendicular to…
MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra
Problem Given C ⃗ = 5 i ^ + 2 j ^ + 4 k ^ \vec C=5\hat i+2\hat j+4\hat k C = 5 i ^ + 2 j ^ + 4 k ^ and D ⃗ = 2 i ^ − j ^ + 2 k ^ \vec D=2\hat i-\hat j+2\hat k D = 2 i ^ − j ^ + 2 k ^ , the component of C ⃗ \vec C C perpendicular to D ⃗ \vec D D is
(a) 13 9 i ^ − 34 9 j ^ + 4 9 k ^ \dfrac{13}{9}\hat i-\dfrac{34}{9}\hat j+\dfrac{4}{9}\hat k 9 13 i ^ − 9 34 j ^ + 9 4 k ^
(b) 32 9 i ^ − 16 9 j ^ + 32 9 k ^ \dfrac{32}{9}\hat i-\dfrac{16}{9}\hat j+\dfrac{32}{9}\hat k 9 32 i ^ − 9 16 j ^ + 9 32 k ^
(c) 13 9 i ^ + 34 9 j ^ + 4 9 k ^ \dfrac{13}{9}\hat i+\dfrac{34}{9}\hat j+\dfrac{4}{9}\hat k 9 13 i ^ + 9 34 j ^ + 9 4 k ^
(d) 193 45 i ^ + 106 45 j ^ + 148 45 k ^ \dfrac{193}{45}\hat i+\dfrac{106}{45}\hat j+\dfrac{148}{45}\hat k 45 193 i ^ + 45 106 j ^ + 45 148 k ^
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