Vector triple product

JEE Main Mathematics · Vectors · 6 questions, latest first

• Let a=- i+ j+2 k, b= i- j-3 k, c= a × b and d= c × a. Then ( a- b) · d is equal to:202623 January, Shift 1 · Q15
• Let a=2 i+ j- k, b=(( a ×( i+ j)) × i) × i. Then the square of the projection of a on b is:20246 April, Shift 2 · Q18
• Let a=-5 i+ j-3 k, b= i+2 j-4 k and c=((( a × b) × i) × i) × i. Then c ·(- i+ j+ k) is equal to:20241 February, Shift 1 · Q19
• Let λ ∈ R, a=λ i+2 j-3 k, b= i-λ j+2 k. If (( a+ b) ×( a × b)) ×( a- b)=8 i-40 j-24 k, then |λ( a+ b) ×( a- b)|^2 is equal to202330 January, Shift 2 · Q79
• If a, b, c are three non-zero vectors and n is a unit vector perpendicular to c such that a=α b- n,(α ≠ 0) and b · c=12, then | c…202330 January, Shift 1 · Q77
• Let a, b and c be three non zero vectors such that b · c=0 and a ×( b × c)=(b- c)/2. If d be a vector such that b · d= a · b,…202325 January, Shift 1 · Q79