given a bar = i cap + 2 j cap +3 k cap and vector b = -i cap+ +2 j cap+ k cap and vector c = 3 i cap + j cap. If resultant of these vectors and unit perpendicular to both a bar and b bar are given by 1/m(6 i cap + 10 j cap + 8 k cap ) and (- i cap - j cap + k cap)/n^(1/2) respectively , then m+n =

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given a bar = i cap + 2 j cap +3 k cap and vector b = -i cap+ +2 j cap+ k cap and vector c = 3 i cap + j cap. If resultant of these vectors and unit perpendicular to both a bar and b bar are given by 1/m(6 i cap + 10 j cap + 8 k cap ) and (- i cap - j cap + k cap)/n^(1/2) respectively , then m+n =

Arun · Answer

Resultant vector = a + b + c = 3 i + 5j +4k but if compare this to the given expression, m = 2 Now perpendicular vector to a and b = a X b = (2k – j + 2k + 2i – 3j – 6i) = – 4i – 4j + 4k unit vector = – 4i – 4j + 4k / sqrt (48) = – i + – j + k / sqrt (3) if we compare this to the given expression , then n = 3 Hence m + n = 2 +3 = 5

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given a bar = i cap + 2 j cap +3 k cap and vector b = -i cap+ +2 j cap+ k cap and vector c = 3 i cap + j cap. If resultant of these vectors and unit perpendicular to both a bar and b bar are given by 1/m(6 i cap + 10 j cap + 8 k cap ) and (- i cap - j cap + k cap)/n^(1/2) respectively , then m+n =

given a bar = i cap + 2 j cap +3 k cap and vector b = -i cap+ +2 j cap+ k cap and vector c = 3 i cap + j cap. If resultant of these vectors and unit perpendicular to both a bar and b bar are given by 1/m(6 i cap + 10 j cap + 8 k cap ) and (- i cap - j cap + k cap)/n^(1/2) respectively , then m+n =

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given a bar = i cap + 2 j cap +3 k cap and vector b = -i cap+ +2 j cap+ k cap and vector c = 3 i cap + j cap. If resultant of these vectors and unit perpendicular to both a bar and b bar are given by 1/m(6 i cap + 10 j cap + 8 k cap ) and (- i cap - j cap + k cap)/n^(1/2) respectively , then m+n =

given a bar = i cap + 2 j cap +3 k cap and vector b = -i cap+ +2 j cap+ k cap and vector c = 3 i cap + j cap. If resultant of these vectors and unit perpendicular to both a bar and b bar are given by 1/m(6 i cap + 10 j cap + 8 k cap ) and (- i cap - j cap + k cap)/n^(1/2) respectively , then m+n =

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