Find lambda if the vectors 5 hat i + 2 h...

Find `lambda` if the vectors `5 hat i + 2 hat j - hat k` and `lambda hat i - hat j + 5 hat k` are orthogonal.

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Find the angle between the vectors hat i - 2 hat j + 3 hat k and 3 hat i - 2 hat j + hat k .

Find lambda for which vec a = lambda hat i - hat j + 5 hat k and vec b = 3 hat i + 4 hat j - hat k are orthogonal.

Thescalar product of the vector hat i + hat j + hat k with a unit vector along the sum of vectors 2 hat i + 4 hat j - 5 hat k and lambda hat i + 2 hat j + 3 hat k is equal to one. Find the value of lambda .

Find lambda if the vectors hat i - hat j + hat k , 3 hat i + hat j + 2 hat k and hat i + lambda hat j - 3 hat k are coplanar.

Find angle theta between the vectors vec a = hat i + hat j - hat k and vec b = hat i - hat j + hat k .

Find angle theta between the vectors vec a = hat i+ hat j- hat k and vec b= hat i- hat j + hat k

Prove that the vectors 3 hat i + hat j + 3 hat k and hat i - hat k are perpendicular.

If the vectors 3 hat i + lambda hat j + hat k and 2 hat i - hat j + 8 hat k are perpendicular, then lambda is

Find the sum of the vectors veca = hat i - 2 hat j + hat k, vec b = - 2 hat i + 4 hat j + 5 hat k and vec c = hat i - 6 hat j - 7 hat k .

Find the sum of the vectors vec a = hat i-2 hat j+ hat k and vec b=-2 hat i+4 hat j +5 hat k and vec c = hat i -6 hat j -7 hat k

NEW JOYTHI PUBLICATION-VECTOR ALGEBRA-ADDITIONAL QUESTIONS FOR PRACTICE 10.3

Find vec a. vec b, when vec a = hat i + hat j + 2 hat k and vec b = 3 ...
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Find the angle between the vectors veca and vecb such that |vec a| = |...
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Find veca. vec b when veca = 2 hat i + 2 hat j - hat k and vec b = 6 h...
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Find lambda if the vectors 5 hat i + 2 hat j - hat k and lambda hat i ...
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If vec a = 5 hat i - hat j - 3 hat k and vec b = hat i + 3 hat j - 5 ...
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Consider the vectors veca = hat i + 3 hat j + hat k and vec b = 2 hat ...
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Prove that the vectors 3 hat i + hat j + 3 hat k and hat i - hat k are...
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If A(0,1,1), B(3, 1,5) and C(0, 3, 3) are three points show that Delta...
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If vec a is a unit vector and (vec x - vec a).(vec x + vec a) = 8, the...
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Find the angle betweeen two vectors vec a and vec b with magnitudes 2 ...
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Find |vec a| and |vec b| if (vec a + vec b).(vec a - vec b) = 3 and 2|...
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Find |vec a - vec b|, if |vec a| = 4, vec b = 12 and vec a. vecb = 16.
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Find the magnitude of two vectors veca and vec b having the same magni...
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If theta is the angle between the unti vectors vec a and vec b , then...
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If vec a and vec b are two non- zero vectors such that | vec a + vec b...
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If vec a and vec b are two vectors such that vec a + vec b is perpen...
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If vec a and vec b are orthogonal vectors, prove that (vec a + vec b...
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Consider the vectors vec a = hat i + 2 hat j - 3 hat k and vec b = 4 h...
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If vec a + vec b + vec c=0 and |vec a|=3, |vec b|=5, |vec c| =7, show ...
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(i) Write the scalar componets of 3 hat i - 2 hat j + 5 hat k. (ii) F...
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